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已知tanα=2,求值
(2-2sin(α+3π/4)cos(α+π/4))/cos^4α-sin^4α)
人气:289 ℃ 时间:2020-09-23 20:58:48
解答
2-2sin(α+3π/4)cos(α+π/4)=2-2(sin(2a+π)+sinπ/2)=2+2sin2a-2=2sin2acos^4α-sin^4α=(cos^2a+sin^2a)(cos^2a-sin^2a)=cos^2a-sin^2a=cos2a(2-2sin(α+3π/4)cos(α+π/4))/cos^4α-sin^4α)=2sin2a/cos2a=2...
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