The value of cot(sin⁻¹(x)) is:
The value of cot(sin⁻¹(x)) is:
- A. x / √(1−x²)
- B. √(1−x²) / x
- C. 1 / x
- D. √(x²−1) / x
Answer: B) √(1−x²) / x
Explanation: Let sin⁻¹(x) = θ, so sin θ = x. Using a right triangle, opp = x, hyp = 1, adj = √(1−x²). cot θ = adj / opp = √(1−x²) / x.
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