Question

if sec + tan =x, write the value of sec - ta in terms of x, (here x is not equal to 0)

Answer 1

$\dfrac{1}{x}$

Given:

sec + tan = x

To Find:

sec - tan

How to find ?

You just get the answer by using Trigonometry Identity.

sec² - tan² = 1

Solution:

${ \sec }^{2} - { \tan }^{2} = 1 \\ ( \sec + \tan )( \sec - \tan) = 1 \\x ( \sec - \tan) = 1 \\ \boxed{\sec \: - \tan = \frac{1}{x}}$

Therefore the required value of sec - tan = 1/x.