Trigonometry Examples

$\tan (2 x + x)$

Step 1

Add $2 x$ and $x$ .

$\tan (3 x)$

Step 2

Apply the tangent triple-angle identity.

$\frac{3 \tan (x) - \tan^{3} (x)}{1 - 3 \tan^{2} (x)}$

Step 3

Factor $\tan (x)$ out of $3 \tan (x) - \tan^{3} (x)$ .

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Step 3.1

Factor $\tan (x)$ out of $3 \tan (x)$ .

$\frac{\tan (x) \cdot 3 - \tan^{3} (x)}{1 - 3 \tan^{2} (x)}$

Step 3.2

Factor $\tan (x)$ out of $- \tan^{3} (x)$ .

$\frac{\tan (x) \cdot 3 + \tan (x) (- \tan^{2} (x))}{1 - 3 \tan^{2} (x)}$

Step 3.3

Factor $\tan (x)$ out of $\tan (x) \cdot 3 + \tan (x) (- \tan^{2} (x))$ .

$\frac{\tan (x) (3 - \tan^{2} (x))}{1 - 3 \tan^{2} (x)}$