If and , then the values of and are given…

MATHEMATICS · Multi correct · A Level · Mathematics · Trigonometry · Trigonometry

Problem

If 0≤x,y≤180∘0\leq x,y\leq180^\circ and sin⁡(x−y)=cos⁡(x+y)=12\sin(x-y)=\cos(x+y)=\frac{1}{2}, then the values of xx and yy are given by (1) x=45∘, y=15∘x=45^\circ,\ y=15^\circ (2) x=45∘, y=135∘x=45^\circ,\ y=135^\circ (3) x=165∘, y=15∘x=165^\circ,\ y=15^\circ (4) x=165∘, y=135∘x=165^\circ,\ y=135^\circ

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