设X属于｛0,π/2｝.f（x）=sin(cosX),g（x）=cos（sinx）求f（x）和g（x）的最大值和最小值.

y=sin^2(x) 2sinxcosx 3cos^2(x)=sin^2(x) cos^2(x) 2sinxcosx 2cos^2(x)=1 sin2x 2cos^2(x) =2 sin2x (2cos^2(x)-1)=sin2x cos2x 2 =√2(sin2x*(√2/2) cos2x*(√2/2)) 2=√2(sin(2x (π)/4) 2由正弦函数...