Trigonometry Examples

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

Step 1

Apply pythagorean identity.

$\cos^{2} (x) \sec (x)$

Step 2

Rewrite $\sec (x)$ in terms of sines and cosines.

$\cos^{2} (x) \frac{1}{\cos (x)}$

Step 3

Cancel the common factor of $\cos (x)$ .

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Step 3.1

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

$\cos (x) \cos (x) \frac{1}{\cos (x)}$

Step 3.2

Cancel the common factor.

$\cos (x) \cos (x) \frac{1}{\cos (x)}$

Step 3.3

Rewrite the expression.

$\cos (x)$

$\cos (x)$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$