函数f(x)=sin^x+2倍根号3sinxcos

函数f(x)=sin^x+2倍根号3sinxcosx+3cos^2x若x属于[0,π/2]求值域?

1个回答

f(x)=sin^x+2倍根号3sinxcosx+3cos^2x
=(sin^2x+cos^2x)+根号3sin2x+(2cos^2x-1)+1
=1+根号3sin2x+cos2x+1
=2sin(2x+Pai/6)+2
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