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    Question

    If sin(x-y) = 1  and cos(x+y) = 1 /√2  then what is

    measure of angle x.
    A 50.5˚ Correct Answer Incorrect Answer
    B 75˚ Correct Answer Incorrect Answer
    C 60˚ Correct Answer Incorrect Answer
    D 67.5˚ Correct Answer Incorrect Answer

    Solution

    sin(x-y) = 1  = sin 90˚ So x-y = 90˚ ---(1) & cos(x+y) = 1/√2  = cos 45˚ So x+y = 45˚   ---(2) Solving these 2 equations, x = 67.5˚

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