(sin^5+cos^5)/(sinx+cosx)如何化简,有公式吗

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(sin^5+cos^5)/(sinx+cosx)如何化简,有公式吗(sin^5+cos^5)/(sinx+cosx)如何化简,有公式吗(sin^5+cos^5)/(sinx+cosx)如何化简,有公

(sin^5+cos^5)/(sinx+cosx)如何化简,有公式吗
(sin^5+cos^5)/(sinx+cosx)如何化简,有公式吗

(sin^5+cos^5)/(sinx+cosx)如何化简,有公式吗
(cos^5-sin^5)/(cosx-sinx)
=cos^4+cos^3*sin+cos^2*sin^2+cos*sin^3+sin^4
=[cos^2+sin^2]^2+cos*sin*(cos^2+sin^2)-cos^2*sin^2
=1+cos*sin-cos^2*sin^2
(sin^5+cos^5)/(sinx+cosx)
=1-cos*sin-cos^2*sin^2