Question

How does Sinh change when it's 2sinh(x) sinh(2x) and sin^2(x)?

I know sinh is (e^x - e^-x)/2

Answer 1

Have you learned about amplitude and frequency/wavelength yet?

Answer 2

Nope.... Are we supposed to learn about that in Calc 2? I learned about them in Physics and Digital Electronics.

Answer 3

I was thinking more along the lines of sin, not sinh, so I would probably graph the variations of sinh you have using the formula given to you. Once you've done that describe what looks different between them.

Answer 4

Is there an easier method? Like I'm guessing 2sinh(x) will be (2e^x - xe^-x)/4 sinh(2x) would be (e^2x - e^-2x) / 2 and sinh^2(x) would be ((e^x - e^-x)/2)^2

Answer 5

2sinh(x) would actually by \(e^x-e^{-x}\), but unless you know how the function already looks, graphing the functions is the best way to do this. If you do know how it looks, visualizing the changes in your head might be enough.

Answer 6

I don't have a graphing calculator, do you know of one online that can do e's and hyperbolic funcs?

Answer 7

http://www.wolframalpha.com/ This is a great resource for graphing functions.