求值sin²x+cos²(π/6+x)+1/2sin(2x+π/6)
问题描述:
求值sin²x+cos²(π/6+x)+1/2sin(2x+π/6)
答
sin²x+cos²(π/6+x)+1/2sin(2x+π/6)
=sin²x+1/2+1/2cos(π/3+2x)+1/2sin(2x+π/6)
=sin²x+1/2
=1-1/2cos2x