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    Question

    If sin(x-y) = 1 ┬аand cos(x+y) = 1 /тИЪ2 ┬аthen what is

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

    Solution

    sin(x-y) =┬а1 ┬а= sin 90╦Ъ So x-y = 90╦Ъ ---(1) & cos(x+y) = 1/тИЪ2 ┬а= cos 45╦Ъ So x+y = 45╦Ъ┬а ┬а---(2) Solving these 2 equations, x = 67.5╦Ъ

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