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If \(0<x, y<\pi\) and \(\cos x+\cos y-\cos (x+y)=\frac{3}{ 2}\), Then, \(\sin x+\cos y\) is equal to: [JEE Main 20…

If \(0<x, y<\pi\) and \(\cos x+\cos y-\cos (x+y)=\frac{3}{ 2}\), Then, \(\sin x+\cos y\) is equal to:

[JEE Main 2021, 25 Feb (Shift 2)]

\(\frac{1+\sqrt{3}}{2}\)

\(\frac{1-\sqrt{3}}{2}\)

\(\frac{\sqrt{3}}{2}\)

\(\frac{1}{2}\)

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If \(0&lt;x, y&lt;\pi\) and \(\cos x+\cos y-\cos (x+y)=\frac{3}{ 2}\), Then, \(\sin x+\cos y\) is equal to: [JEE Main 20…