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      Question

      Find the maximum value of 20 sin A + 9 cos

      A.
      A √481 Correct Answer Incorrect Answer
      B √490 Correct Answer Incorrect Answer
      C √475 Correct Answer Incorrect Answer
      D √465 Correct Answer Incorrect Answer

      Solution

      Maximum value of a sin A + b cos A = √(a² + b²)
      Here, a = 20 and b = 9
      Required value = √(20² + 9²) = √(400 + 81) = √481

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