cos(π- θcos2θ)=3/5 求
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cos(π- θcos2θ)=3/5 求
cos(π- θcos2θ)=3/5 求
cos(π- θcos2θ)=3/5 求
答:
已知cos2θ=3/5,求sin⁴θ+cos⁴θ
sin⁴θ+cos⁴θ
=(sin²θ+cos²θ)²-2sin²θcos²θ
=1-(1/2)sin²2θ
=1-(1/2)(1-cos²2θ)
=1-1/2+(1/2)*(3/5)²
=1/2+(1/2)*(9/25)
=17/25
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cosπ/5×cos2π/5=