If $$sin$$⁡$$(x$$−$$y)=$$$$cos$$⁡$$(x+y)=12$$ the values of x and y flying between $$0$$° and $$90$$° are given by

Correct option is 4x=45∘,y=15∘

Questions

If $\sin (x - y) = \cos (x + y) = \frac{1}{2}$ the values of x and y flying between 0° and 90° are given by

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x=15∘,y=25∘

x=65∘,y=15∘

x=45∘,y=45∘

x=45∘,y=15∘

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detailed solution

Correct option is D

We have, sin⁡(x−y)=12 and cos⁡(x+y)=12⇒ x−y=30∘ and x+y=60∘⇒ x=45∘,y=15∘

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If sin⁡(x−y)=cos⁡(x+y)=12 the values of x and y flying between 0° and 90° are given by

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If $\sin (x - y) = \cos (x + y) = \frac{1}{2}$ the values of x and y flying between 0° and 90° are given by