AP EAMCET · Maths · Trigonometric Ratios & Identities
If \(\sin x-\sin y=\frac{27}{65}\) and \(\cos x-\cos y=\frac{-21}{65}\), then \(\sin (x+y)=\) \(\sin \mathrm{x}-\sin \mathrm{y}=\frac{27}{65}\) మరియు \(\cos \mathrm{x}-\cos \mathrm{y}=\frac{-21}{65}\) అయితే, \(\sin (\mathrm{x}+\mathrm{y})=\)
- A \(-\frac{63}{65}\)
- B \(\frac{16}{65}\)
- C \(\frac{63}{65}\)
- D \(-\frac{16}{65}\)
Answer & Solution
Correct Answer
(C) \(\frac{63}{65}\)
Step-by-step Solution
Detailed explanation
\(2\cos\left(\frac{x+y}{2}\right)\sin\left(\frac{x-y}{2}\right) = \frac{27}{65}\) \(-2\sin\left(\frac{x+y}{2}\right)\sin\left(\frac{x-y}{2}\right) = \frac{-21}{65}\)…
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