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若(1+sinx)/cosx= -1/2,求sinx
人气:402 ℃ 时间:2020-05-13 01:08:24
解答
(1+sinx)/cosx= -1/2(sinx/2+cosx/2)²/(cosx/2) ²-(sinx/2)²=-1/2(sinx/2+cosx/2)/(sinx/2-cosx/2)=1/2sinx/2=-3cosx/2sinx/2=-3/√10cosx/2=1/√10sinx=-3/5
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