Problem

Problem

If

0 \le x, y \le 180^\circ

and

\sin(x - y) = \cos(x + y) = \frac{1}{2}

, then the values of

x

and

y

are given by a.

x = 45^\circ, y = 15^\circ

b.

x = 45^\circ, y = 135^\circ

c.

x = 165^\circ, y = 15^\circ

d.

x = 165^\circ, y = 135^\circ

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