If sinθ 3/5, find cosθ in the first quadrant?
- 4/5
- 2/5
- 5/3
- None of these
Explanation
Given sinθ = 3/5, 1st quadrant
Use identity: sin²θ + cos²θ = 1
(3/5)² + cos²θ = 1
9/25 + cos²θ = 1
cos²θ = 1 - 9/25 = 16/25
cosθ = ±4/5
In 1st quadrant both sin and cos are positive.
So cosθ = 4/5.
Last verified on 04-05-2026
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