Trigonometry Examples

$\tan (3 x)$

Step 1

Apply the tangent triple-angle identity.

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

Step 2

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

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Step 2.1

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

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

Step 2.2

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

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

Step 2.3

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

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