Question

Simplify the function f(t) = sinh(ln(t)).

Answer 1

Can you remind me what sinh(x) is in terms of "e", the natural number?

Answer 2

In my notes its sinhx= (1/2)e^x-(1/2)e^-x

Answer 3

cool. That's what I thought.

Answer 4

I got ((t^2)+1)/2t but its not right for some reason

Answer 5

hummm.. lets see...

Answer 6

I meant t^2-1

Answer 7

for the top

Answer 8

sinh(ln(t)) = (1/2)e^(ln(t)) - (1/2)e^(-ln(t))

But e^(ln(t)) is just t, and -ln(t) = ln(1/t) (power rule), so e^(-ln(t)) = 1/t
sinh(ln(t)) = (1/2)t - (1/2)(1/t)

Answer 9

\[ \large = \frac{t}{2} - \frac{1}{2t}\]
\[\large = \frac{t^2 - 1}{2t}\]

Answer 10

but that's what you got.

Answer 11

herp derp, entered it wrong on webassign
at least I know it was right, thanks!

Answer 12

I was just think about that!!! parenthesis for the denominator: (t^2-1)/(2t)

Answer 13

always happens lol