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      Question

      If (sin A + cos A) = √3 cos (90° - A), then find the

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

      Solution

      We have, (sin A + cos A) = √3 cos (90° - A)

      Or, (sin A + cos A) = √3 sin A (since, cos (90° - A) = sin A)

      Or, cos A = (√3 - 1) sin A

      Or, {(cos A)/(sin A)} = (√3 - 1)

      So, cot A = (√3 - 1)

      Hence, option a.

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