TS EAMCET · Maths · Binomial Theorem
If \(\sinh x=-\frac{4}{3}\) then \(\sinh 2 x+\cosh 2 x=\)
- A \(\frac{-31}{41}\)
- B \(\frac{-20}{9}\)
- C \(\frac{49}{41}\)
- D \(\frac{1}{9}\)
Answer & Solution
Correct Answer
(D) \(\frac{1}{9}\)
Step-by-step Solution
Detailed explanation
\begin{aligned} & \text {} \sin h x=\frac{-4}{3} \\ & \because \quad \cos ^2 h x=1+\sin ^2 h x=1+\frac{16}{9}=\frac{25}{9} \\ & \quad \cos h x=\frac{-5}{3} \\ & \sin h 2 x+\cos h 2 x \\ & =(2 \sin h x \cdot \cos h x)+\left(\cos ^2 h x+\sin h^2 x\right) \\ &…
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