f(x)=sin^2x+2sinx+3cos^2x单调递增区间

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f(x)=sin^2x+2sinx+3cos^2x单调递增区间f(x)=sin^2x+2sinx+3cos^2x单调递增区间f(x)=sin^2x+2sinx+3cos^2x单调递增区间f(x)=2s

f(x)=sin^2x+2sinx+3cos^2x单调递增区间
f(x)=sin^2x+2sinx+3cos^2x单调递增区间

f(x)=sin^2x+2sinx+3cos^2x单调递增区间
f(x)=2sinx+3-2in^2x =-2(sinx-1/2)^2+3.5
单调递增 sinx≤0.5 2kπ+5π/6≤x≤2kπ+11π/6
增区间[2kπ+5π/6,2kπ+11π/6]