若cos(六分之派-阿法)=二分之一,则sin(阿法加三分之派)等于多少,cos(三分之二派加二阿法)等于多少
急啊!
人气:208 ℃ 时间:2019-11-04 18:33:14
解答
cos(六分之派-阿法)=二分之一,
cos(π/6-α)=1/2,
根据诱导公式,所以sin[π/2-(π/6-α)] =1/2,
即sin(π/3+α) =1/2,
cos(2π/3+2α)= cos[2(π/3+α)]
=1-2 sin²(π/3+α) =1/2.
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