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      Question

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

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

      Solution

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

      Or, (cos A - sin A) = √2 sin A

      Or, cos A = (√2 + 1) sin A

      Or, {(cos A)/(sin A)} = (√2 + 1)

      So, cot A = (√2 + 1)

      Hence, option a.

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