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      Question

      If cos(90° − θ) = 3/5 for an acute angle θ, find:

      A 2/5 Correct Answer Incorrect Answer
      B 3/4 Correct Answer Incorrect Answer
      C 5/7 Correct Answer Incorrect Answer
      D 3/8 Correct Answer Incorrect Answer

      Solution

      cos(90° − θ) = sinθ So sinθ = 3/5 Then cosθ = √(1 − sin²θ) = √(1 − 9/25) = √(16/25) = 4/5 tanθ = sinθ / cosθ = (3/5)/(4/5) = 3/4.

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