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      Question

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

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