(cos3x+cosx)^2+(sin3x+sinx)^2 упростите...

Lianaizh @Lianaizh

August 2021 1 2 Report

(cos3x+cosx)^2+(sin3x+sinx)^2 упростите

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Lalalala0 (cos 3x+cos x)^2 + (sin 3x+sin x)^2= (2cos $\frac{3x+x}{2}$ cos $\frac{3x-x}{2}$ )^2 + (2sin $\frac{3x+x}{2}$ cos $\frac{3x-x}{2}$ )^2= (2cos 2x cos x)^2 + (2sin 2x cos x)^2= 4 cos^2 2x cos^2 x+ 4 sin^2 2x cos^2 x= 4cos^2 x(cos^2 2x+sin^2 2x)=4 cos^2 x

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