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      Question

      If sin 2a = (3/2), then find the value of (sin a + cos

      a).
      A √10 / 2 Correct Answer Incorrect Answer
      B √6 / 2 Correct Answer Incorrect Answer
      C √8 / 2 Correct Answer Incorrect Answer
      D 1 Correct Answer Incorrect Answer

      Solution

      sin 2a = (3/2)
      Adding 1 to both sides, we get;
      1 + sin 2a = (5/2)
      We know that (sin²a + cos²a) = 1 and (sin 2P = 2 sinP cosP)
      sin²a + cos²a + 2 sin a cos a = (5/2)
      (sin a + cos a)² = (5/2)
      (sin a + cos a) = √10/2

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