Trigonometry Examples

$1 + \tan^{3} (x)$

Step 1

Rewrite $1$ as $1^{3}$ .

$1^{3} + \tan^{3} (x)$

Step 2

Since both terms are perfect cubes, factor using the sum of cubes formula, $a^{3} + b^{3} = (a + b) (a^{2} - a b + b^{2})$ where $a = 1$ and $b = \tan (x)$ .

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

Step 3

Simplify.

Tap for more steps...

Step 3.1

One to any power is one.

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

Step 3.2

Rewrite $- 1 \tan (x)$ as $- \tan (x)$ .

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