Trigonometry Examples

$\sin (2 x) - \tan (x)$

Step 1

Simplify each term.

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Step 1.1

Apply the sine double-angle identity.

$2 \sin (x) \cos (x) - \tan (x)$

Step 1.2

Rewrite $\tan (x)$ in terms of sines and cosines.

$2 \sin (x) \cos (x) - \frac{\sin (x)}{\cos (x)}$

Step 2

Convert from $\frac{\sin (x)}{\cos (x)}$ to $\tan (x)$ .

$2 \sin (x) \cos (x) - \tan (x)$