Question

Find the value sin (tan^-1 x + cot^-1 x).
1. 2
2. -1
3. 0
4. 1

Answer 1

Correct Answer - Option 4 : 1

Concept:

tan-1 x + cot-1 x = \(\frac{\pi}{2}\)

Calculation:

sin (tan-1 x + cot-1 x)

= sin \(\frac{\pi}{2}\)

= 1

∴ sin (tan-1 x + cot-1 x) = 1