Trigonometry Examples

$\sec (x) - \frac{1}{\sec (x)}$

Step 1

Simplify each term.

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Step 1.1

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

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

Step 1.2

Multiply by the reciprocal of the fraction to divide by $\frac{1}{\cos (x)}$ .

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

Step 1.3

Multiply $\cos (x)$ by $1$ .

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

Step 2

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

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

Step 3

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

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