📝 Inverses Of Hyperbolic Functions

Q1. What is the definition of the inverse hyperbolic sine function \(\operatorname{arsinh}(x)\)?

💡 Difficulty: easy | ✅ Correct: A

Q2. A cable hangs in the shape \(y = a\cosh\!\bigl(\frac{x}{a}\bigr)\). If the sag at the midpoint is 2 m and the parameter \(a\) is 5 m, what is the horizontal distance from the midpoint to the point where the cable is 5 m above the midpoint?

💡 Difficulty: medium | ✅ Correct: B

Q3. A signal attenuation follows \(A(d)=\operatorname{arcosh}\!\bigl(1+0.5d\bigr)\) dB, where \(d\) is distance in meters. Determine the distance \(d\) that yields an attenuation of \(2\) dB.

💡 Difficulty: hard | ✅ Correct: C