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求(sin105°-根号3倍cos105°)(根号3倍15°-sin15°)的值
人气:232 ℃ 时间:2020-06-23 15:53:31
解答
(sin105°-根号3倍cos105°)(根号3倍15°-sin15°)
=2(1/2sin105-根号3/2cos105)* 2(根号3/2cos15-1/2sin15)
=2(sin30sin105-cos30cos105)* 2(cos30cos15-sin30sin15)
=4(-cos(135))*(cos(45))
=4cos45cos45
=2(cos90+1)
=2
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