Question

How do you prove tanh(x)=(e^2x-1)/(e^2x+1) using the definitions of hyperbolic trig functions?

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

Multiply the numerator and denominator by .

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Solution:

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