Question

if sec theta+tan theta=p then find the value ofsec theta-tan theta?​

Answer 1

Step-by-step explanation:

Hi,

Here I am using A instead of theta.

It is given that,

Sec A + tan A = p ---(1)

By Trigonometric identity :

Sec?A - tan? A = 1

Algebraic identity :

a? - b? = ( a + b )(a - b)

Sec? A - tan? A = 1

( SecA + tan A )( secA - tanA ) = 1

p x ( sec A - tan A ) = 1[ from (1)]

Sec A - tan A = 1/p

I hope this helps you.