sin^a+cos^(π/6+a)+1/2sin(2a+π/6)求值

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sin^a+cos^(π/6+a)+1/2sin(2a+π/6)求值
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sin^a+cos^(π/6+a)+1/2sin(2a+π/6)求值
sin^a+cos^(π/6+a)+1/2sin(2a+π/6)求值

sin^a+cos^(π/6+a)+1/2sin(2a+π/6)求值
是不是sin^2a+cos^2(π/6+a)+1/2sin(2a+π/6)
=(1-cos2a)/2+(1+cos(π/3+2a))/2+1/2sin(2a+π/6)
=1-1/2cos2a+1/4cos2a-√3/4sin2a+√2/4sin2a+1/4cos2a (利用公式展开)
=1