AP EAMCET · Maths · Trigonometric Ratios & Identities
If \(\left(\frac{\sin 3 \theta}{\sin \theta}\right)^2-\left(\frac{\cos 3 \theta}{\cos \theta}\right)^2=a \cos b \theta\), then \(a: b=\)
- A \(4: 1\)
- B \(8: 1\)
- C \(3: 2\)
- D \(2: 1\)
Answer & Solution
Correct Answer
(A) \(4: 1\)
Step-by-step Solution
Detailed explanation
\( \left(\frac{\sin 3 \theta}{\sin \theta}\right)^2-\left(\frac{\cos 3 \theta}{\cos \theta}\right)^2 = \frac{\sin^2 3\theta \cos^2\theta - \cos^2 3\theta \sin^2\theta}{\sin^2\theta \cos^2\theta} \)…
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