How do i prove that tanh(x) equals (1-e^-2x)/(1+e^-2x)

Question

Can someone please help me prove that, using the identities

Answer 1

Step 1:

The hyperbolic trigonometric function is

Hyperbolic sine function is defined as .

Hyperbolic cosine function is defined as .

Hyperbolic tangent function is defined as

Common term of the numerator and denominator by and simplify.

Solution: