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      Question

      If X = 15°, find the value of: sin²(4X)

      + cos²(3X) - tan²(2X)
      A 13/12 Correct Answer Incorrect Answer
      B 5/6 Correct Answer Incorrect Answer
      C 3/4 Correct Answer Incorrect Answer
      D 11/12 Correct Answer Incorrect Answer

      Solution

      = sin²(60°) + cos²(45°) - tan²(30°)
      = (√3/2)² + (1/√2)² - (1/√3)²
      = 3/4 + 1/2 - 1/3 = 11/12

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