﻿68:@0.036727:0.974518:0.057230:0.974518:0.057230:0.956333:0.036727:0.956333:0.000000:0.000000
Trigonometría analítica:@0.073089:0.043661:0.282466:0.043661:0.282466:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
7. Utiliza las identidades de mitad de ángulo para encontrar el valor exacto de:@0.293660:0.136836:0.893502:0.136836:0.893502:0.120167:0.293660:0.120167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cos:@0.330265:0.185530:0.353330:0.185530:0.353330:0.169124:0.330265:0.169124:0.000000:0.000000:0.000000
112.5°  :@0.353330:0.185530:0.416191:0.185530:0.416191:0.169096:0.353330:0.169096:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 = cos:@0.397875:0.185530:0.439255:0.185530:0.439255:0.169124:0.397875:0.169124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
_ 2:@0.710620:0.161587:0.744951:0.159067:0.744951:0.142633:0.710620:0.145153:0.000000:0.000000:0.000000
1 + :@0.543334:0.176643:0.571350:0.176643:0.571350:0.160209:0.543334:0.160209:0.000000:0.000000:0.000000:0.000000
cos:@0.571350:0.176643:0.594415:0.176643:0.594415:0.160237:0.571350:0.160237:0.000000:0.000000:0.000000
225°:@0.594415:0.176643:0.626775:0.176643:0.626775:0.160209:0.594415:0.160209:0.000000:0.000000:0.000000:0.000000
225°:@0.454327:0.177050:0.486687:0.177050:0.486687:0.160616:0.454327:0.160616:0.000000:0.000000:0.000000:0.000000
2:@0.466016:0.197242:0.474998:0.197242:0.474998:0.180808:0.466016:0.180808:0.000000
2:@0.580564:0.197242:0.589547:0.197242:0.589547:0.180808:0.580564:0.180808:0.000000
1 +:@0.673464:0.167398:0.697448:0.167398:0.697448:0.150964:0.673464:0.150964:0.000000:0.000000:0.000000
2:@0.711088:0.197242:0.720071:0.197242:0.720071:0.180808:0.711088:0.180808:0.000000
= :@0.502920:0.186078:0.517205:0.186078:0.517205:0.169672:0.502920:0.169672:0.000000:0.000000
_:@0.517205:0.181030:0.526408:0.181030:0.526408:0.164624:0.517205:0.164624:0.000000
= :@0.632323:0.186078:0.646608:0.186078:0.646608:0.169672:0.632323:0.169672:0.000000:0.000000
_:@0.646608:0.181030:0.655811:0.181030:0.655811:0.164624:0.646608:0.164624:0.000000
= :@0.765077:0.186078:0.779361:0.186078:0.779361:0.169672:0.765077:0.169672:0.000000:0.000000
_:@0.779361:0.181030:0.788564:0.181030:0.788564:0.164624:0.779361:0.164624:0.000000
2:@0.731366:0.175140:0.740349:0.175140:0.740349:0.158706:0.731366:0.158706:0.000000
_:@0.818274:0.156544:0.827477:0.156544:0.827477:0.140110:0.818274:0.140110:0.000000
2:@0.803680:0.162355:0.812663:0.162355:0.812663:0.145921:0.803680:0.145921:0.000000
2:@0.824867:0.197247:0.833849:0.197247:0.833849:0.180814:0.824867:0.180814:0.000000
2:@0.824514:0.177663:0.833496:0.177663:0.833496:0.161229:0.824514:0.161229:0.000000
2:@0.844596:0.161701:0.853579:0.161701:0.853579:0.145267:0.844596:0.145267:0.000000
= :@0.330265:0.242400:0.344549:0.242400:0.344549:0.225994:0.330265:0.225994:0.000000:0.000000
_:@0.344549:0.237352:0.353753:0.237352:0.353753:0.220946:0.344549:0.220946:0.000000
= :@0.429554:0.242400:0.443838:0.242400:0.443838:0.225994:0.429554:0.225994:0.000000:0.000000
_:@0.443838:0.237352:0.453042:0.237352:0.453042:0.220946:0.443838:0.220946:0.000000
_:@0.385690:0.227630:0.394893:0.227630:0.394893:0.211196:0.385690:0.211196:0.000000
2:@0.371103:0.233448:0.380086:0.233448:0.380086:0.217015:0.371103:0.217015:0.000000
4:@0.392290:0.254403:0.401272:0.254403:0.401272:0.237969:0.392290:0.237969:0.000000
2:@0.412017:0.232786:0.421000:0.232786:0.421000:0.216353:0.412017:0.216353:0.000000
_:@0.482756:0.227641:0.491960:0.227641:0.491960:0.211208:0.482756:0.211208:0.000000
2:@0.468159:0.233448:0.477142:0.233448:0.477142:0.217015:0.468159:0.217015:0.000000
2:@0.482462:0.254403:0.491444:0.254403:0.491444:0.237969:0.482462:0.237969:0.000000
2:@0.509074:0.232786:0.518056:0.232786:0.518056:0.216353:0.509074:0.216353:0.000000
8. Encuentra el valor de los siguientes productos o sumas.:@0.293660:0.289949:0.741629:0.289949:0.741629:0.273279:0.293660:0.273279:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a.:@0.325203:0.314809:0.336690:0.314809:0.336690:0.298375:0.325203:0.298375:0.000000:0.000000
5:@0.355405:0.314809:0.364387:0.314809:0.364387:0.298375:0.355405:0.298375:0.000000
sen:@0.364314:0.314809:0.387820:0.314809:0.387820:0.298403:0.364314:0.298403:0.000000:0.000000:0.000000
52.5° :@0.387765:0.314809:0.426991:0.314809:0.426991:0.298375:0.387765:0.298375:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sen:@0.426880:0.314809:0.450386:0.314809:0.450386:0.298403:0.426880:0.298403:0.000000:0.000000:0.000000
97.5°:@0.450331:0.314809:0.485599:0.314809:0.485599:0.298375:0.450331:0.298375:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.360873:0.348019:0.368980:0.348019:0.368980:0.333189:0.360873:0.333189:0.000000
1:@0.395417:0.339779:0.403523:0.339779:0.403523:0.324949:0.395417:0.324949:0.000000
2:@0.395417:0.358001:0.403523:0.358001:0.403523:0.343171:0.395417:0.343171:0.000000
_:@0.380633:0.343384:0.388938:0.343384:0.388938:0.328578:0.380633:0.328578:0.000000
_:@0.549070:0.343384:0.557376:0.343384:0.557376:0.328578:0.549070:0.328578:0.000000
:@0.421711:0.350944:0.427314:0.350944:0.427314:0.332069:0.421711:0.332069:0.000000
cos :@0.428209:0.347658:0.452013:0.347658:0.452013:0.332852:0.428209:0.332852:0.000000:0.000000:0.000000:0.000000
(52.5° + 97.5° ):@0.452013:0.347658:0.544521:0.347658:0.544521:0.332827:0.452013:0.332827:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.488507:0.347658:0.491497:0.347658:0.491497:0.332852:0.488507:0.332852:0.000000
 :@0.537129:0.347658:0.540119:0.347658:0.540119:0.332852:0.537129:0.332852:0.000000
cos :@0.563657:0.347658:0.587460:0.347658:0.587460:0.332852:0.563657:0.332852:0.000000:0.000000:0.000000:0.000000
(52.5°  97.5° )  =:@0.587460:0.347658:0.699952:0.347658:0.699952:0.332827:0.587460:0.332827:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.623955:0.343102:0.626945:0.343102:0.626945:0.328297:0.623955:0.328297:0.000000
_:@0.626945:0.343102:0.635251:0.343102:0.635251:0.328272:0.626945:0.328272:0.000000
 :@0.670982:0.347658:0.673972:0.347658:0.673972:0.332852:0.670982:0.332852:0.000000
=:@0.721935:0.384731:0.731576:0.384731:0.731576:0.370314:0.721935:0.370314:0.000000
5:@0.378446:0.376821:0.386339:0.376821:0.386339:0.362380:0.378446:0.362380:0.000000
2:@0.378446:0.394565:0.386339:0.394565:0.386339:0.380123:0.378446:0.380123:0.000000
_:@0.364049:0.380331:0.372137:0.380331:0.372137:0.365914:0.364049:0.365914:0.000000
5:@0.608414:0.376821:0.616308:0.376821:0.616308:0.362380:0.608414:0.362380:0.000000
2:@0.608414:0.394565:0.616308:0.394565:0.616308:0.380123:0.608414:0.380123:0.000000
5:@0.740633:0.376821:0.748527:0.376821:0.748527:0.362380:0.740633:0.362380:0.000000
4:@0.740633:0.394565:0.748527:0.394565:0.748527:0.380123:0.740633:0.380123:0.000000
_:@0.594018:0.380331:0.602106:0.380331:0.602106:0.365914:0.594018:0.365914:0.000000
2:@0.657277:0.394566:0.665171:0.394566:0.665171:0.380125:0.657277:0.380125:0.000000
_:@0.642881:0.380332:0.650969:0.380332:0.650969:0.365915:0.642881:0.365915:0.000000
_:@0.477906:0.380332:0.485994:0.380332:0.485994:0.365915:0.477906:0.365915:0.000000
:@0.404048:0.387693:0.409504:0.387693:0.409504:0.369313:0.404048:0.369313:0.000000
cos :@0.411915:0.384493:0.435095:0.384493:0.435095:0.370076:0.411915:0.370076:0.000000:0.000000:0.000000:0.000000
(150°):@0.435095:0.384493:0.472105:0.384493:0.472105:0.370051:0.435095:0.370051:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cos :@0.490658:0.384493:0.513838:0.384493:0.513838:0.370076:0.490658:0.370076:0.000000:0.000000:0.000000:0.000000
(  45° )  =:@0.513838:0.384493:0.581419:0.384493:0.581419:0.370051:0.513838:0.370051:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.518124:0.380057:0.521036:0.380057:0.521036:0.365640:0.518124:0.365640:0.000000
_:@0.521036:0.380057:0.529124:0.380057:0.529124:0.365615:0.521036:0.365615:0.000000
 :@0.553209:0.384493:0.556121:0.384493:0.556121:0.370076:0.553209:0.370076:0.000000
3:@0.660543:0.378180:0.668437:0.378180:0.668437:0.363739:0.660543:0.363739:0.000000
3 +:@0.775517:0.384677:0.799005:0.384176:0.799005:0.369735:0.775517:0.370235:0.000000:0.000000:0.000000
2:@0.812882:0.384677:0.820776:0.384677:0.820776:0.370235:0.812882:0.370235:0.000000
2:@0.689853:0.394566:0.697747:0.394566:0.697747:0.380125:0.689853:0.380125:0.000000
_:@0.675457:0.380332:0.683545:0.380332:0.683545:0.365915:0.675457:0.365915:0.000000
2:@0.693119:0.378180:0.701013:0.378180:0.701013:0.363739:0.693119:0.363739:0.000000
b. :@0.325203:0.429480:0.342101:0.429480:0.342101:0.413047:0.325203:0.413047:0.000000:0.000000:0.000000
_:@0.498287:0.429284:0.507030:0.429284:0.507030:0.413699:0.498287:0.413699:0.000000
+:@0.411169:0.434225:0.421591:0.434225:0.421591:0.418613:0.411169:0.418613:0.000000
= 2:@0.481605:0.434225:0.517763:0.435013:0.517763:0.419401:0.481605:0.418613:0.000000:0.000000:0.000000
=:@0.628684:0.434225:0.639106:0.434225:0.639106:0.418613:0.628684:0.418613:0.000000
=2:@0.765411:0.434225:0.786688:0.435013:0.786688:0.419401:0.765411:0.418613:0.000000:0.000000
b. :@0.339981:0.434225:0.356191:0.434225:0.356191:0.418613:0.339981:0.418613:0.000000:0.000000:0.000000
cos:@0.356191:0.434225:0.378102:0.434225:0.378102:0.418640:0.356191:0.418640:0.000000:0.000000:0.000000
cos:@0.428883:0.434225:0.450794:0.434225:0.450794:0.418640:0.428883:0.418640:0.000000:0.000000:0.000000
p:@0.388621:0.424655:0.398164:0.424655:0.398164:0.413994:0.388621:0.413994:0.000000
12:@0.384860:0.444867:0.401927:0.444867:0.401927:0.429255:0.384860:0.429255:0.000000:0.000000
5:@0.457893:0.425685:0.466426:0.425685:0.466426:0.410073:0.457893:0.410073:0.000000
p:@0.466426:0.424655:0.475969:0.424655:0.475969:0.413994:0.466426:0.413994:0.000000
12:@0.458398:0.444867:0.475465:0.444867:0.475465:0.429255:0.458398:0.429255:0.000000:0.000000
p:@0.697279:0.424655:0.706822:0.424655:0.706822:0.413994:0.697279:0.413994:0.000000
2:@0.697785:0.444867:0.706318:0.444867:0.706318:0.429255:0.697785:0.429255:0.000000
p:@0.816506:0.424655:0.826049:0.424655:0.826049:0.413994:0.816506:0.413994:0.000000
2:@0.817010:0.444867:0.825544:0.444867:0.825544:0.429255:0.817010:0.429255:0.000000
_:@0.741589:0.420894:0.750332:0.420894:0.750332:0.405308:0.741589:0.405308:0.000000
p:@0.750332:0.424655:0.759875:0.424655:0.759875:0.413994:0.750332:0.413994:0.000000
3:@0.746465:0.444867:0.754999:0.444867:0.754999:0.429255:0.746465:0.429255:0.000000
p:@0.865187:0.424655:0.874730:0.424655:0.874730:0.413994:0.865187:0.413994:0.000000
3:@0.865692:0.444867:0.874226:0.444867:0.874226:0.429255:0.865692:0.429255:0.000000
6:@0.543862:0.425685:0.552395:0.425685:0.552395:0.410073:0.543862:0.410073:0.000000
p:@0.552396:0.424655:0.561939:0.424655:0.561939:0.413994:0.552396:0.413994:0.000000
12:@0.544367:0.444867:0.561434:0.444867:0.561434:0.429255:0.544367:0.429255:0.000000:0.000000
_:@0.591279:0.422092:0.600022:0.422092:0.600022:0.406480:0.591279:0.406480:0.000000
4:@0.600022:0.425688:0.608555:0.425688:0.608555:0.410076:0.600022:0.410076:0.000000
p:@0.608555:0.424655:0.618098:0.424655:0.618098:0.413994:0.608555:0.413994:0.000000
12:@0.596155:0.444867:0.613222:0.444867:0.613222:0.429255:0.596155:0.429255:0.000000:0.000000
sen:@0.517763:0.435013:0.540233:0.435013:0.540233:0.419428:0.517763:0.419428:0.000000:0.000000:0.000000
_:@0.646394:0.429295:0.655137:0.429295:0.655137:0.413710:0.646394:0.413710:0.000000
2:@0.657340:0.435013:0.665874:0.435013:0.665874:0.419401:0.657340:0.419401:0.000000
sen:@0.665874:0.435013:0.688344:0.435013:0.688344:0.419428:0.665874:0.419428:0.000000:0.000000:0.000000
sen:@0.786688:0.435013:0.809159:0.435013:0.809159:0.419428:0.786688:0.419428:0.000000:0.000000:0.000000
sen:@0.567354:0.435013:0.589825:0.435013:0.589825:0.419428:0.567354:0.419428:0.000000:0.000000:0.000000
sen:@0.714434:0.435013:0.736904:0.435013:0.736904:0.419428:0.714434:0.419428:0.000000:0.000000:0.000000
sen:@0.833657:0.435013:0.856127:0.435013:0.856127:0.419428:0.833657:0.419428:0.000000:0.000000:0.000000
2:@0.410790:0.484346:0.419324:0.484346:0.419324:0.468734:0.410790:0.468734:0.000000
3:@0.414321:0.466631:0.422855:0.466631:0.422855:0.451019:0.414321:0.451019:0.000000
3:@0.456136:0.474922:0.464670:0.474922:0.464670:0.459310:0.456136:0.459310:0.000000
= 2(1):@0.361165:0.474356:0.401752:0.474356:0.401752:0.458743:0.361165:0.458743:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.431270:0.474356:0.441692:0.474356:0.441692:0.458743:0.431270:0.458743:0.000000
9. Demuestra la identidad::@0.293660:0.509557:0.505600:0.509557:0.505600:0.492887:0.293660:0.492887:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cos x + cosx:@0.558278:0.533453:0.645173:0.533453:0.645173:0.517047:0.558278:0.517047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.581140:0.533453:0.590122:0.533453:0.590122:0.517019:0.581140:0.517019:0.000000
sen x   senx:@0.558609:0.550788:0.644847:0.550788:0.644847:0.534382:0.558609:0.534382:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.582060:0.550788:0.591043:0.550788:0.591043:0.534354:0.582060:0.534354:0.000000
–:@0.601608:0.551370:0.610812:0.551370:0.610812:0.533716:0.601608:0.533716:0.000000
 = :@0.650296:0.542952:0.669181:0.542952:0.669181:0.526519:0.650296:0.526519:0.000000:0.000000:0.000000
cotx:@0.669089:0.542952:0.698401:0.542952:0.698401:0.526546:0.669089:0.526546:0.000000:0.000000:0.000000:0.000000
Demostración::@0.323788:0.570314:0.429972:0.570314:0.429972:0.553881:0.323788:0.553881:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cos x + cosx:@0.465492:0.594207:0.552387:0.594207:0.552387:0.577801:0.465492:0.577801:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.488354:0.594207:0.497336:0.594207:0.497336:0.577773:0.488354:0.577773:0.000000
sen x   senx:@0.465823:0.611542:0.552061:0.611542:0.552061:0.595136:0.465823:0.595136:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.489274:0.611542:0.498257:0.611542:0.498257:0.595108:0.489274:0.595108:0.000000
–:@0.508823:0.612124:0.518026:0.612124:0.518026:0.594470:0.508823:0.594470:0.000000
 =:@0.557510:0.603706:0.572438:0.603706:0.572438:0.587273:0.557510:0.587273:0.000000:0.000000
2:@0.585258:0.595099:0.594241:0.595099:0.594241:0.578666:0.585258:0.578666:0.000000
cos xcosx:@0.594167:0.595099:0.663400:0.595099:0.663400:0.578693:0.594167:0.578693:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.617029:0.595099:0.626011:0.595099:0.626011:0.578666:0.617029:0.578666:0.000000
2cos xsenx:@0.585111:0.609231:0.663551:0.609231:0.663551:0.592825:0.585111:0.592825:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.616421:0.609231:0.625404:0.609231:0.625404:0.592797:0.616421:0.592797:0.000000
 =:@0.672895:0.603698:0.687823:0.603698:0.687823:0.587264:0.672895:0.587264:0.000000:0.000000
cosx:@0.701036:0.594385:0.731404:0.594385:0.731404:0.577978:0.701036:0.577978:0.000000:0.000000:0.000000:0.000000
senx:@0.700778:0.608516:0.731666:0.608516:0.731666:0.592110:0.700778:0.592110:0.000000:0.000000:0.000000:0.000000
 = :@0.743078:0.603704:0.761964:0.603704:0.761964:0.587270:0.743078:0.587270:0.000000:0.000000:0.000000
cotx:@0.761872:0.603704:0.791184:0.603704:0.791184:0.587298:0.761872:0.587298:0.000000:0.000000:0.000000:0.000000
10. Demuestra la identidad::@0.293660:0.655925:0.505600:0.655925:0.505600:0.639256:0.293660:0.639256:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sen x sen x :@0.323784:0.686560:0.410538:0.686560:0.410538:0.670154:0.323784:0.670154:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5  :@0.347235:0.686560:0.367557:0.686560:0.367557:0.670126:0.347235:0.670126:0.000000:0.000000:0.000000
3 = :@0.390934:0.686560:0.425411:0.686560:0.425411:0.670126:0.390934:0.670126:0.000000:0.000000:0.000000:0.000000
1:@0.432037:0.677320:0.441020:0.677320:0.441020:0.660886:0.432037:0.660886:0.000000
2 :@0.432037:0.691452:0.445051:0.691452:0.445051:0.675018:0.432037:0.675018:0.000000:0.000000
 (:@0.452414:0.686570:0.461250:0.686570:0.461250:0.670136:0.452414:0.670136:0.000000:0.000000
cos x  cos x:@0.461158:0.686570:0.555863:0.686570:0.555863:0.670164:0.461158:0.670164:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.484020:0.686570:0.493002:0.686570:0.493002:0.670136:0.484020:0.670136:0.000000
–:@0.503568:0.687153:0.512772:0.687153:0.512772:0.669498:0.503568:0.669498:0.000000
 :@0.512680:0.686570:0.516711:0.686570:0.516711:0.670136:0.512680:0.670136:0.000000
8 ):@0.539499:0.686570:0.560667:0.686570:0.560667:0.670136:0.539499:0.670136:0.000000:0.000000:0.000000
Demostración::@0.323784:0.713932:0.429969:0.713932:0.429969:0.697498:0.323784:0.697498:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sen x sen x:@0.491014:0.751543:0.574528:0.751543:0.574528:0.735137:0.491014:0.735137:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5  :@0.514465:0.751543:0.534787:0.751543:0.534787:0.735109:0.514465:0.735109:0.000000:0.000000:0.000000
3  = :@0.558164:0.751543:0.593340:0.751543:0.593340:0.735109:0.558164:0.735109:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.599962:0.741399:0.608945:0.741399:0.608945:0.724965:0.599962:0.724965:0.000000
2 :@0.599962:0.755530:0.612976:0.755530:0.612976:0.739097:0.599962:0.739097:0.000000:0.000000
 (:@0.620339:0.751536:0.629174:0.751536:0.629174:0.735103:0.620339:0.735103:0.000000:0.000000
cos x  cos:@0.629082:0.751536:0.708130:0.751536:0.708130:0.735130:0.629082:0.735130:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.651944:0.751536:0.660927:0.751536:0.660927:0.735103:0.651944:0.735103:0.000000
– :@0.671492:0.752119:0.685206:0.752119:0.685206:0.734465:0.671492:0.734465:0.000000:0.000000
8x):@0.707976:0.751536:0.729586:0.751536:0.729586:0.735103:0.707976:0.735103:0.000000:0.000000:0.000000
=   :@0.478308:0.788259:0.506287:0.788259:0.506287:0.771826:0.478308:0.771826:0.000000:0.000000:0.000000:0.000000
–:@0.493145:0.788842:0.502348:0.788842:0.502348:0.771188:0.493145:0.771188:0.000000
1:@0.512946:0.779009:0.521928:0.779009:0.521928:0.762575:0.512946:0.762575:0.000000
2 :@0.512946:0.793141:0.525960:0.793141:0.525960:0.776707:0.512946:0.776707:0.000000:0.000000
 (:@0.533323:0.788259:0.542158:0.788259:0.542158:0.771826:0.533323:0.771826:0.000000:0.000000
cos x:@0.542066:0.788259:0.590035:0.788259:0.590035:0.771853:0.542066:0.771853:0.000000:0.000000:0.000000:0.000000:0.000000
 (5  + 3 )   :@0.564928:0.788259:0.646914:0.788259:0.646914:0.771826:0.564928:0.771826:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.617646:0.788259:0.625101:0.788259:0.625101:0.771853:0.617646:0.771853:0.000000
–:@0.633771:0.788842:0.642975:0.788842:0.642975:0.771188:0.633771:0.771188:0.000000
cos x:@0.646840:0.788259:0.694809:0.788259:0.694809:0.771853:0.646840:0.771853:0.000000:0.000000:0.000000:0.000000:0.000000
 (5   3 ) ):@0.669702:0.788259:0.742245:0.788259:0.742245:0.771826:0.669702:0.771826:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
– :@0.698693:0.788842:0.712407:0.788842:0.712407:0.771188:0.698693:0.771188:0.000000:0.000000
x:@0.721224:0.788259:0.728679:0.788259:0.728679:0.771853:0.721224:0.771853:0.000000
=   :@0.523401:0.824969:0.551380:0.824969:0.551380:0.808535:0.523401:0.808535:0.000000:0.000000:0.000000:0.000000
–:@0.538237:0.825551:0.547441:0.825551:0.547441:0.807897:0.538237:0.807897:0.000000
1:@0.558069:0.815725:0.567051:0.815725:0.567051:0.799291:0.558069:0.799291:0.000000
2 :@0.558069:0.829856:0.571083:0.829856:0.571083:0.813423:0.558069:0.813423:0.000000:0.000000
 (:@0.578445:0.824975:0.587281:0.824975:0.587281:0.808541:0.578445:0.808541:0.000000:0.000000
cos  x  cos  x:@0.587189:0.824975:0.688392:0.824975:0.688392:0.808569:0.587189:0.808569:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8  :@0.613309:0.824975:0.633630:0.824975:0.633630:0.808541:0.613309:0.808541:0.000000:0.000000:0.000000
–:@0.633557:0.825557:0.642760:0.825557:0.642760:0.807903:0.633557:0.807903:0.000000
2  ):@0.672028:0.824975:0.697154:0.824975:0.697154:0.808541:0.672028:0.808541:0.000000:0.000000:0.000000:0.000000
= :@0.531249:0.861684:0.546178:0.861684:0.546178:0.845250:0.531249:0.845250:0.000000:0.000000
1:@0.552809:0.852440:0.561792:0.852440:0.561792:0.836006:0.552809:0.836006:0.000000
2 :@0.552809:0.866572:0.565823:0.866572:0.565823:0.850138:0.552809:0.850138:0.000000:0.000000
 (:@0.573186:0.861690:0.582021:0.861690:0.582021:0.845256:0.573186:0.845256:0.000000:0.000000
cos  x cos x:@0.581929:0.861690:0.680592:0.861690:0.680592:0.845284:0.581929:0.845284:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2    :@0.608049:0.861690:0.641440:0.861690:0.641440:0.845256:0.608049:0.845256:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.628297:0.862273:0.637501:0.862273:0.637501:0.844618:0.628297:0.844618:0.000000
8  ):@0.664228:0.861690:0.689354:0.861690:0.689354:0.845256:0.664228:0.845256:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000