AP EAMCET · Maths · Trigonometric Ratios & Identities
Let \(\theta \in R\) such that \(3 \sinh (2 \theta)=13-3 e^{2 \theta}\), then \(\theta=\)
- A \(\frac{1}{2} \log 3\)
- B \(\frac{1}{3} \log 3\)
- C \(\log 3\)
- D \(\frac{1}{2} \log 5\)
Answer & Solution
Correct Answer
(A) \(\frac{1}{2} \log 3\)
Step-by-step Solution
Detailed explanation
\[ \begin{aligned} & \text { } 3 \sinh (2 \theta)=13-3 e^{2 \theta} \\ & 3\left(\frac{e^{2 \theta}-e^{-2 \theta}}{2}\right)=13-3 e^{2 \theta} \end{aligned} \] Let \(x=e^{2 \theta}\)…
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