TS EAMCET · Maths · Trigonometric Ratios & Identities
If \(x\) and \(y\) are acute angles such that \(\cos x+\cos y=\frac{3}{2}\) and \(\sin x+\sin y=\frac{3}{4}\), then \(\sin (x+y)\) equals to
- A \(\frac{2}{5}\)
- B \(\frac{3}{4}\)
- C \(\frac{3}{5}\)
- D \(\frac{4}{5}\)
Answer & Solution
Correct Answer
(D) \(\frac{4}{5}\)
Step-by-step Solution
Detailed explanation
Given, \(\cos x+\cos y=\frac{3}{2}\) \[ \Rightarrow \quad 2 \cos \left(\frac{x+y}{2}\right) \cos \left(\frac{x-y}{2}\right)=\frac{3}{2} \] and…
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