Trigonometry Examples

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

Step 1

Simplify each term.

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Step 1.1

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

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

Step 1.2

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

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

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $\sin (x)$ from $\sin (x)$ .

$0 - \cos (x)$

Step 2.2

Subtract $\cos (x)$ from $0$ .

$- \cos (x)$