Trigonometry Examples

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

Step 1

Simplify with factoring out.

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Step 1.1

Reorder $\tan^{2} (x)$ and $- \sec^{2} (x)$ .

$3 (- \sec^{2} (x) + \tan^{2} (x))$

Step 1.2

Factor $- 1$ out of $- \sec^{2} (x)$ .

$3 (- (\sec^{2} (x)) + \tan^{2} (x))$

Step 1.3

Factor $- 1$ out of $\tan^{2} (x)$ .

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

Step 1.4

Factor $- 1$ out of $- (\sec^{2} (x)) - 1 (- \tan^{2} (x))$ .

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

Step 2

Apply pythagorean identity.

$3 (- 1 \cdot 1)$

Step 3

Multiply $3 (- 1 \cdot 1)$ .

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Step 3.1

Multiply $- 1$ by $1$ .

$3 \cdot - 1$

Step 3.2

Multiply $3$ by $- 1$ .

$- 3$