- #1

- 257

- 4

I didnt understand that equation what it means coshw or sinhw or total equation(In 49 minute) whats the "h"in there I need help (you can look also 52 min)

- #1

- 257

- 4

I didnt understand that equation what it means coshw or sinhw or total equation(In 49 minute) whats the "h"in there I need help (you can look also 52 min)

- #2

Mentallic

Homework Helper

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- 94

[tex]1=\cosh^2w-\sinh^2w[/tex]

Where

[tex]\cosh{x} = \frac{e^x+e^{-x}}{2}[/tex]

[tex]\sinh{x} = \frac{e^x-e^{-x}}{2}[/tex]

They're represented in this way because they appear frequently and quite often have very similar properties to the usual cos and sin trig functions, such as

[tex]\cosh^2w-\sinh^2w=1[/tex]

versus

[tex]\cos^2w+\sin^2w=1[/tex]

- #3

- 257

- 4

whats the "h" means there I need to lear hyperbolic geometry to learn it I guess

Last edited:

- #4

Mentallic

Homework Helper

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The sine function is denoted by sin, and evaluating the sine of [itex]\pi[/itex] is done by calculating [itex]\sin(\pi)[/itex].

Similarly, the hyperbolic sine function is denoted by sinh and evaluating this function at x=5 is done by [itex]\sinh(5)[/itex], except we can also represent the sinh function by

[tex]\sinh(x)=\frac{e^x-e^{-x}}{2}[/tex]

hence

[tex]\sinh(5)=\frac{e^5-e^{-5}}{2}[/tex]

- #5

- 257

- 4

I understand it thanks

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