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      Question

      If sin θ = 3/5 and θ is an acute angle, then the value

      of cos θ is:
      A 7/5 Correct Answer Incorrect Answer
      B 6/5 Correct Answer Incorrect Answer
      C 4/5 Correct Answer Incorrect Answer
      D 2/5 Correct Answer Incorrect Answer

      Solution

      ATQ, Given:  sin θ = 3/5 and θ is acute. We know: sin²θ + cos²θ = 1 So, (3/5)² + cos²θ = 1 9/25 + cos²θ = 1 cos²θ = 1 − 9/25 = 25/25 − 9/25 = 16/25 cos θ = √(16/25) = 4/5 (since θ is acute, cos θ > 0) So, cos θ = 4/5.

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