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

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Can someone please help me prove that, using the identities
asked Aug 2, 2017 in TRIGONOMETRY by anonymous
reshown Aug 2, 2017 by goushi

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

Common term of the numerator and denominator by image and simplify.

image

Solution:

image

answered Aug 2, 2017 by Anney Mentor

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