Trigonometry Examples

$\tan (3 a)$

Step 1

Apply the tangent triple-angle identity.

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

Step 2

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

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Step 2.1

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

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

Step 2.2

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

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

Step 2.3

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

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