Trigonometry Examples

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

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

Step 1

Rewrite

sec (x)

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

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

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

Step 2

Multiply by the reciprocal of the fraction to divide by

\frac{1}{cos (x)}

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

sec (x) - (1 cos (x))

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

Step 3

Multiply

cos (x)

$\cos (x)$ by

1

$1$ .

sec (x) - cos (x)

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