设f(sinx)=cos2x 1,求f(x)及f(cosx)不好意思,打错了,是f(sinx)=cos2x+1
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设f(sinx)=cos2x 1,求f(x)及f(cosx)不好意思,打错了,是f(sinx)=cos2x+1(图1)
======以下答案可供参考======
供参考答案1:
f(sinx)=cos2x +1 = 1-2(sinx)^2 +1 =2-2(sinx)^2
所以f(x)=2-2x^2
f(cosx)=2-2(cosx)^2= - (2(cosx)^2-1) +1= 1- cos2x