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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