If sin (x + y) = cos(x - y), then the value of cos2x is :
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Correct answer: A
Explanation
The correct answer is option 1 i.e.
sin (x + y) = cos(x - y)
sin(x + y) = sin(90 - x + y)
x + y = 90 - x + y
2x = 90
x = 45
cos2x = cos245 = 1/2.