Question

Show that $sec^{2}(tan^{-1}\ 2) + cosec^{2}(cot^{-1}\ 2)$ = 10

Answer 1

Explanation:

This question involves inverse trigonometric functions.

We need to remeber one thing.

Only one-to-one functions have inverse functions.

The Trigonometric Functions are not one-to-one functions.

But we can make them one-to-one functions by restricting their domain.

The trigonometric functions with restricted domain are known as Principal Trigonometric Functions.

Kindly see the attachment for detailed answer.

I hope it will help you.