Помогите доказать тождество, пожалуйста
(1-2sin^2x)/(cosx+sinx)+(1-2cos^2x)/(sinx+cosx)=2cosx
(1-2sin^2x)/(cosx+sinx)+(1-2cos^2x)/(sinx+cosx)=2cosx
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=(2cosxsinx^2-2cosx^3)/((cosx+sinx)*(sinx-cosx))=(2cosx(sinx-cosx)*(sinx+cosx))/((cosx+sinx)*(sinx-cosx)=2cosx
2cosx=2cosx