Verify the Identity 1-sin(x)^2-sin(x)^2=1-2sin(x)^2

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Trigonometry

$1 - \sin^{2} (x) - \sin^{2} (x) = 1 - 2 \sin^{2} (x)$

Start on the left side.

$1 - \sin^{2} (x) - \sin^{2} (x)$

Subtract ${\sin (x)}^{2}$ from $- {\sin (x)}^{2}$ .

$1 - 2 \sin^{2} (x)$

Because the two sides have been shown to be equivalent, the equation is an identity.

$1 - \sin^{2} (x) - \sin^{2} (x) = 1 - 2 \sin^{2} (x)$ is an identity

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