AP EAMCET · Maths · Trigonometric Equations
If \(\sin \alpha=\sin \beta\) and \(\cos \alpha=\cos \beta\), then \(\alpha-\beta=\) for some integer \(n\).
- A \(n \pi\)
- B \(2 n \pi+\frac{\pi}{2}\)
- C \(2 n \pi-\frac{\pi}{2}\)
- D \(2 n \pi\)
Answer & Solution
Correct Answer
(D) \(2 n \pi\)
Step-by-step Solution
Detailed explanation
It is given that, \(\sin \alpha=\sin \beta\) \(\Rightarrow 2 \sin \left(\frac{\alpha-\beta}{2}\right) \cos \left(\frac{\alpha+\beta}{2}\right)=0\) ...(i) and \(\cos \alpha=\cos \beta\)…
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