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      Question

      If sinAo = (√3/2), then find the value of

      (sin245o + cos230o) × A ÷ 5 given that 0 < A < 90.
      A 10 Correct Answer Incorrect Answer
      B 15 Correct Answer Incorrect Answer
      C 25 Correct Answer Incorrect Answer
      D 8 Correct Answer Incorrect Answer

      Solution

      A = sin-1 (√3/2) = 60 sin245o + cos230o X A ÷ 5 = {(1/√2)2 + (√3/2)2} x 60 ÷ 5 = {(1/2) + (3/4)} × 12 = (5/4) × 12 = 15

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