Question:medium

If \(\sinh x=\frac{12}{5}\), then \[ \cosh2x-\sinh2x= \]

Show Hint

Convert hyperbolic functions into exponentials for direct solving.

Updated On: Jun 22, 2026

25
\(\frac{1}{125}\)
\(\frac{1}{25}\)
125 \bigskip

Show Solution

The Correct Option is C

Solution and Explanation

Was this answer helpful?

0

Top Questions on Hyperbolic Functions

If $\text{Sinh}^{-1}x = \text{Cosh}^{-1}y = \log(1+\sqrt{2})$ then $\text{Tan}^{-1}(x+y) =$
- TS EAMCET - 2025
- Mathematics
- Hyperbolic Functions
View Solution
$\coth^2 x - \tanh^2 x =$
- TS EAMCET - 2025
- Mathematics
- Hyperbolic Functions
View Solution
Consider the following statements
Statement-I: $\cosh^{-1}x = \tanh^{-1}x$ has no solution
Statement-II: $\cosh^{-1}x = \coth^{-1}x$ has only one solution
The correct answer is
- TS EAMCET - 2025
- Mathematics
- Hyperbolic Functions
View Solution
If $\sinh x = \frac{3}{4}$, then $\cosh 2x =$
- AP EAPCET - 2026
- Mathematics
- Hyperbolic Functions
View Solution
Want to practice more? Try solving extra ecology questions todayView All Questions

Questions Asked in TS EAMCET exam

If \( f(x)=\tan \left(\frac{\pi}{\sqrt{x+1}+4}\right) \) is a real valued function then the range of \( f \) is

TS EAMCET - 2025
Algebra

The range of the real valued function \( f(x)=\sin ^{-1}\left(\sqrt{x^{2}+x+1}\right) \) is

TS EAMCET - 2025
Algebra

1+(1+3)+(1+3+5)+(1+3+5+7)+... to 10 terms =

TS EAMCET - 2025
Algebra

If the augmented matrix corresponding to the system of equations \( x+y-z=1 \), \( 2x+4y-z=0 \) and \( 3x+4y+5z=18 \) is transformed to \( \begin{bmatrix} 1 & a & 0 & -1 \\ 0 & 2 & 1 & b \\ 0 & 0 & c & 32 \end{bmatrix} \), then

TS EAMCET - 2025
Algebra