Trigonometry Examples

\sec (θ) - \frac{1}{\sec (θ)}

$\sec (θ) - \frac{1}{\sec (θ)}$

Step 1

Rewrite

\sec (θ)

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

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

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

Step 2

Multiply by the reciprocal of the fraction to divide by

\frac{1}{\cos (θ)}

$\frac{1}{\cos (θ)}$ .

\sec (θ) - (1 \cos (θ))

$\sec (θ) - (1 \cos (θ))$

Step 3

Multiply

\cos (θ)

$\cos (θ)$ by

1

$1$ .

\sec (θ) - \cos (θ)

$\sec (θ) - \cos (θ)$