Podcast
Questions and Answers
If cosec θ = cosh z, then the value of sinh z is
If cosec θ = cosh z, then the value of sinh z is
- tan θ
- cot θ (correct)
- sin θ
- sec θ
What is the value of tanh(x + y) when cosh x = sec θ and sec y = cosec θ?
What is the value of tanh(x + y) when cosh x = sec θ and sec y = cosec θ?
- tan θ (correct)
- tanh θ
- coth θ
- cot θ
If cosh z = 3, then what is the value of sinh z?
If cosh z = 3, then what is the value of sinh z?
- √2
- √5 (correct)
- 2√3
- 2√2
What is the value of coth x when cosec θ = cosh x?
What is the value of coth x when cosec θ = cosh x?
If tanh x = 1/2, then what is the value of cosh x?
If tanh x = 1/2, then what is the value of cosh x?
If log sec x = y, then the value of y is
If log sec x = y, then the value of y is
The value of cosh-1 (sec x) is
The value of cosh-1 (sec x) is
If tanh x = 1/2, then the value of coth x is
If tanh x = 1/2, then the value of coth x is
The value of sinh-1 (tan x) is
The value of sinh-1 (tan x) is
If cosech x = 2, then the value of x is
If cosech x = 2, then the value of x is
If $f(x) = \cosh{x} + \sinh{x}$, then $f(p) = f(x) \cdot f(y)$, what is the value of $p$?
If $f(x) = \cosh{x} + \sinh{x}$, then $f(p) = f(x) \cdot f(y)$, what is the value of $p$?
What is the value of $\cosh^2{x} - \sinh^2{x}$?
What is the value of $\cosh^2{x} - \sinh^2{x}$?
If $\sin{x} \cosh{y} = \cos{\theta}$ and $\cos{x} \sinh{y} = \sin{\theta}$, what is the value of $\sinh^2{y}$?
If $\sin{x} \cosh{y} = \cos{\theta}$ and $\cos{x} \sinh{y} = \sin{\theta}$, what is the value of $\sinh^2{y}$?
What is the value of $\tanh{x} + \tanh{y}$?
What is the value of $\tanh{x} + \tanh{y}$?
What is the value of $\cosh{2x} - 1$?
What is the value of $\cosh{2x} - 1$?
What is the formula for tan⁻¹(cos θ + i sin θ) when cos θ > 0?
What is the formula for tan⁻¹(cos θ + i sin θ) when cos θ > 0?
If x = log(y + √(y² + 1)), then what is y in terms of x?
If x = log(y + √(y² + 1)), then what is y in terms of x?
If cosh⁻¹ x = log(2 + 3), then what is the value of x?
If cosh⁻¹ x = log(2 + 3), then what is the value of x?
Which of the following is true about inverse hyperbolic functions?
Which of the following is true about inverse hyperbolic functions?
What is the formula for sinh⁻¹(cos θ + i sin θ)?
What is the formula for sinh⁻¹(cos θ + i sin θ)?
What is the value of sin$^{-1}$(cosec $\theta$) in terms of $\theta$?
What is the value of sin$^{-1}$(cosec $\theta$) in terms of $\theta$?
What is the real part of cos$^{-1}$(cos $\theta + i$ sin $\theta$)?
What is the real part of cos$^{-1}$(cos $\theta + i$ sin $\theta$)?
What is the value of sin$^{-1}$(sin $\theta - i$ cos $\theta$)?
What is the value of sin$^{-1}$(sin $\theta - i$ cos $\theta$)?
What is the value of cos$^{-1}$(cos $\theta + i$ sin $\theta$) in terms of $\theta$?
What is the value of cos$^{-1}$(cos $\theta + i$ sin $\theta$) in terms of $\theta$?
What is the domain of the hyperbolic sine function?
What is the domain of the hyperbolic sine function?
If $e^x - e^{-x} = 4$, what is the value of $ ext{sinh} x$?
If $e^x - e^{-x} = 4$, what is the value of $ ext{sinh} x$?
What is the range of the hyperbolic cosine function?
What is the range of the hyperbolic cosine function?
If $ ext{cosh} x = 2$, what is the value of $ ext{sinh} x$?
If $ ext{cosh} x = 2$, what is the value of $ ext{sinh} x$?
What is the value of $ ext{tanh} 0$?
What is the value of $ ext{tanh} 0$?
What is the relationship between sin(x) and sinh(ix)?
What is the relationship between sin(x) and sinh(ix)?
