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

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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

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