sin^a+cos^(π/6+a)+1/2sin(2a+π/6)求值

COCO3242132022-10-04 11:39:541条回答

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suifengwx2003 共回答了15个问题 | 采纳率93.3%
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
1年前

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sin^2a+cos^2(π/6+a)+1/2sin(2a+π/6)
huangzifu1年前1
五圆ss 共回答了16个问题 | 采纳率93.8%
=(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