If cosθ = 9/41 then sinθ equals?
- 40/41
- 40/9
- 41/40
- None of these
Explanation
Given:
cos θ = 9/41
Use the formula:
sin²θ + cos²θ = 1
Step 1: Put cos θ value
sin²θ + (9/41)² = 1
sin²θ + 81/1681 = 1
Step 2: Find sin²θ
sin²θ = 1 - 81/1681
sin²θ = 1681/1681 - 81/1681
sin²θ = 1600/1681
Step 3: Take square root
sin θ = ±√(1600/1681)
sin θ = ±40/41
Last verified on 23-05-2026
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