Math  /  Trigonometry

QuestionSimplify (cosx+sinx)2(\cos x+\sin x)^{2}.

Studdy Solution
We can simplify the expression by using the trigonometric identity sin2x+cos2x=1\sin^2 x + \cos^2 x =1.
(cosx)2+2cosxsinx+(sinx)2=1+2cosxsinx(\cos x)^2 +2 \cdot \cos x \cdot \sin x + (\sin x)^2 =1 +2 \cdot \cos x \cdot \sin xSo, the simplified form of (cosx+sinx)2(\cos x + \sin x)^2 is 1+2cosxsinx1 +2 \cdot \cos x \cdot \sin x.

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