Math  /  Trigonometry

Question(sinx+cosx)2=1+2sinxcosx(\sin x+\cos x)^{2}=1+2 \sin x \cos x

Studdy Solution
Verify that both sides of the equation are equal:
The left side simplifies to:
1+2sinxcosx1 + 2 \sin x \cos x
The right side is already:
1+2sinxcosx1 + 2 \sin x \cos x
Since both sides are equal, the equation is verified as a trigonometric identity.
The equation (sinx+cosx)2=1+2sinxcosx(\sin x + \cos x)^2 = 1 + 2 \sin x \cos x is verified as true.

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