Question

If sec theta + tan theta = p, show that sec theta - tan theta =1/p

Answer 1

Heya,

According to trigonometry identity sec²θ - tan²θ = 1

So, we can write this trigonometry identity as;

(secθ - tanθ)(secθ + tanθ) = 1 ..... equation 1

It is given in question that secθ + tanθ = p
But putting this value in equation 1, we will get;

(secθ - tanθ)(p) = 1
secθ - tanθ = 1/p

Hence proved.

Hope this helps you...:)

Answer 2

Answer:

Hope it helps you friend.