Trigonometry Examples

$\frac{1 - \sin^{2} (a)}{2 \cos (a)}$

Step 1

Apply pythagorean identity.

$\frac{\cos^{2} (a)}{2 \cos (a)}$

Step 2

Cancel the common factor of $\cos^{2} (a)$ and $\cos (a)$ .

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Step 2.1

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

$\frac{\cos (a) \cos (a)}{2 \cos (a)}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $\cos (a)$ out of $2 \cos (a)$ .

$\frac{\cos (a) \cos (a)}{\cos (a) \cdot 2}$

Step 2.2.2

Cancel the common factor.

$\frac{\cos (a) \cos (a)}{\cos (a) \cdot 2}$

Step 2.2.3

Rewrite the expression.

$\frac{\cos (a)}{2}$