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    Question

    Find the simplified value of the expression:sin

    2 45 o  + sin 2 60 o  - (1/3) X tan 2 60 o  - cos 2 60 o
    B 2 Correct Answer Incorrect Answer
    C 3/2 Correct Answer Incorrect Answer
    D 1/4 Correct Answer Incorrect Answer

    Solution

    sin 2 45 o  + sin 2 60 o  - (1/3) X tan 2 60 o  - cos 2 60 o

    = (1/√2)  2  + (√3/2)  2  - (1/3) X (√3)  2  - (1/2)  2

    = (1/2) + (3/4) - (1/3) X 3 - (1/4)

    = (5/4) - 1 − (1/4) = 1 - 1 = 0

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