The value of sin(cos⁻¹(3/5)) is:
The value of sin(cos⁻¹(3/5)) is:
- A. 4/5
- B. 3/5
- C. 3/4
- D. 5/3
Answer: A) 4/5
Explanation: Let θ = cos⁻¹(3/5). Then cos θ = 3/5. sin θ = √(1−cos²θ) = √(1−9/25) = 4/5. Since θ ∈ [0,π], sin θ ≥ 0. So sin θ = 4/5.
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