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      Question

      If (sin A + 2cos A) = 4 cos (90° - A), then find the

      value of cot A.
      A 3/2 Correct Answer Incorrect Answer
      B √2 Correct Answer Incorrect Answer
      C (√3 - 1) Correct Answer Incorrect Answer
      D 2 Correct Answer Incorrect Answer

      Solution

      We have, (sin A + 2cos A) = 4 cos (90° - A)

      Or, (sin A + 2cos A) = 4 sin A

      Or, 2cos A = 3 sin A

      Or, {(cos A)/(sin A)} = 3/2

      So, cot A = 3/2

      Hence, option a

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