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If sinθ 3/5, find cosθ in the first quadrant?
  1. 4/5
  2. 2/5
  3. 5/3
  4. 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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