MHT CET · Maths · Trigonometric Ratios & Identities
If \(\sin \theta=\frac{1}{2}\left(x+\frac{1}{x}\right)\), then \(\sin 3 \theta+\frac{1}{2}\left(x^3+\frac{1}{x^3}\right)=\)
- A 0
- B 1
- C \(\frac{1}{4}\)
- D 2
Answer & Solution
Correct Answer
(A) 0
Step-by-step Solution
Detailed explanation
Let \( x=e^{i\phi} \). \( \sin \theta = \frac{1}{2}(e^{i\phi}+e^{-i\phi}) = \cos \phi \).
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