化简~cos^2(a+15)+sin^2(a-15)+sin(a+180)cos(a-180)15为15度

来源：学生作业帮助网编辑：六六作业网时间：2024/05/24 21:48:17

化简~cos^2(a+15)+sin^2(a-15)+sin(a+180)cos(a-180)15为15度化简~cos^2(a+15)+sin^2(a-15)+sin(a+180)cos(a-180)

化简~cos^2(a+15)+sin^2(a-15)+sin(a+180)cos(a-180)15为15度
化简~cos^2(a+15)+sin^2(a-15)+sin(a+180)cos(a-180)
15为15度

化简~cos^2(a+15)+sin^2(a-15)+sin(a+180)cos(a-180)15为15度
cos^2(a+15)+sin^2(a-15)+sin(a+180)cos(a-180)
=cos^2(a+15)+sin^2(a+15)-sin^2(a+15)+sin^2(a-15)+sinacosa
=1+[sin^2(a-15)-sin^2(a+15)]+sinacosa
=1+[sin(a-15)+sin(a+15)][sin(a-15)-sin(a+15)]+sinacosa
=1+[2sinacos15]*[2cosa*sin(-15)]+sinacosa
=1-sin2a*sin30+(1/2)*sin2a
=1-(1/2)*sin2a+(1/2)*sin2a
=1

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