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

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

asked Feb 13, 2015 in TRIGONOMETRY by anonymous

1 Answer

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Step 1:

The hyperbolic trigonometric function is image.

Hyperbolic sine function is defined as image.

Hyperbolic cosine function is defined as image.

Hyperbolic tangent function is defined as image

image

Multiply the numerator and denominator by image.

image

image.

Solution:

image.

answered Feb 14, 2015 by cameron Mentor

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