Trigonometry Examples

$\cos (- x) - \sin (- x)$

Since $\cos (- x)$ is an even function, rewrite $\cos (- x)$ as $\cos (x)$ .

$\cos (x) - \sin (- x)$

Since $\sin (- x)$ is an odd function, rewrite $\sin (- x)$ as $- \sin (x)$ .

$\cos (x) - - \sin (x)$

Multiply $- - \sin (x)$ .

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Multiply $- 1$ by $- 1$ .

$\cos (x) + 1 \sin (x)$

Multiply $\sin (x)$ by $1$ .

$\cos (x) + \sin (x)$