化简f(x)=2(sinx)^2+sinxcosx+(cosx)^2
网友回答
f(x)=2(sinx)^2+sinxcosx+(cosx)^2
=sinx^2+sinxcosx+1
=1/2 (1-cos2x)+1/2sin2x+1
=1/2(sin2x-cos2x)+3/2
=√2/2(√2/2sin2x-√2/2cos2x)+3/2
=√2/2(sin2xcosπ/4-cos2xcosπ/4)+3/2
=√2/2sin（2x-π/4）+3/2
======以下答案可供参考======
供参考答案1:
貌似简单，忘了 - -
供参考答案2:
f(x)=(sinx)^2+1/2*sin2x+1
=1/2-1/2cos2x+1/2*sin2x+1
=3/2+sin(2x-60°)