Trigonometry Examples

$9 \sec^{2} (a) - 9 \tan^{2} (a)$

Step 1

Simplify with factoring out.

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Step 1.1

Factor $9$ out of $9 \sec^{2} (a)$ .

$9 (\sec^{2} (a)) - 9 \tan^{2} (a)$

Step 1.2

Factor $9$ out of $- 9 \tan^{2} (a)$ .

$9 (\sec^{2} (a)) + 9 (- \tan^{2} (a))$

Step 1.3

Factor $9$ out of $9 (\sec^{2} (a)) + 9 (- \tan^{2} (a))$ .

$9 (\sec^{2} (a) - \tan^{2} (a))$

Step 2

Apply pythagorean identity.

$9 \cdot 1$

Step 3

Multiply $9$ by $1$ .

$9$