Evaluate the function 3sinh 2. If the value is not a rational number, give the answer to three-decimal-place accuracy.
A) 30.098
B) 7.254
C) 21.761
D) 10.881
E) 7.524

Question

Quizplus · Accepted Answer

Using the definition of hyperbolic sine: 
sinh x = (e^x - e^(-x))/2

Therefore, 3sinh 2 = 3(e^2 - e^(-2))/2

Using a calculator, this equals approximately 10.881. Therefore, the answer is D.

Evaluate the Function 3sinh 2