Trigonometry Examples

$1 + \sec (x) \cdot 1 - \cos (x)$

Step 1

Simplify each term.

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Step 1.1

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

$1 + \frac{1}{\cos (x)} \cdot 1 - \cos (x)$

Step 1.2

Multiply $\frac{1}{\cos (x)}$ by $1$ .

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

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

Step 2

Convert from $\frac{1}{\cos (x)}$ to $\sec (x)$ .

$1 + \sec (x) - \cos (x)$

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