简化函数f(x)=sin(x/2)cos(x/2)+cos^2(x/2)-2

题目详情

▼优质解答

答案和解析

f(x)=sin(x/2)cos(x/2)+cos^2(x/2)-2
=1/2*2 sin(x/2)cos(x/2)+1/2*( 2cos^2(x/2)-1)-3/2
=1/2sinx+1/2cosx-3/2
=√2/2sin(x+π/4)-3/2

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