MHT CET · Maths · Trigonometric Ratios & Identities
If \(3 \sin 2 \theta=2 \sin 3 \theta\) and \(0 < \theta < \pi\), then the value of \(\sin \theta\) is equal to
- A \(\frac{\sqrt{17}}{4}\)
- B \(\frac{5 \sqrt{2}}{4}\)
- C \(\frac{3 \sqrt{2}}{4}\)
- D \(\frac{\sqrt{15}}{4}\)
Answer & Solution
Correct Answer
(D) \(\frac{\sqrt{15}}{4}\)
Step-by-step Solution
Detailed explanation
\(3(2 \sin \theta \cos \theta) = 2(3 \sin \theta - 4 \sin^3 \theta)\) \(6 \sin \theta \cos \theta = 6 \sin \theta - 8 \sin^3 \theta\)
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