sin^2a+cos^2(π/6+a)+1/2sin(2a+π/6)
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sin^2a+cos^2(π/6+a)+1/2sin(2a+π/6)sin^2a+cos^2(π/6+a)+1/2sin(2a+π/6)sin^2a+cos^2(π/6+a)+1/2sin(2a+π/
sin^2a+cos^2(π/6+a)+1/2sin(2a+π/6)
sin^2a+cos^2(π/6+a)+1/2sin(2a+π/6)
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
由cos(a+b)=cos a cos b-sin a sin b cos(a-b)=cos a cos b+sin a sin b解题设a为锐角,证:1、2分之根3乘cos a + 2分之1乘sin a=cos(6分之π-a)2、cos a-sin a=根号2cos(4分之π+a)
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sin^6 a+cos^6 a+3×sin^2 a×cos^2 a=?
sin/cos^2a+cos/sin^2a最小值
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cos(a+π/2)=sin?
sin^2a+cos^2(π/6+a)+1/2sin(2a+π/6)
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