Question

Prove that tan {cot⁻¹ 9 + cosec⁻¹$\frac{\sqrt{41}}{4}$} = 1.

Answer 1

Explanation:

This question involves inverse trigonometric functions.

We need to remember 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.

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