Trigonometry Examples

$\sec (θ) - \frac{1}{\sec (θ)}$

Step 1

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

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

Step 2

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

$\sec (θ) - (1 \cos (θ))$

Step 3

Multiply $\cos (θ)$ by $1$ .

$\sec (θ) - \cos (θ)$