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AP EAMCET20224 Jul 2022Morning ShiftMathematicsTrigonometric Ratios & IdentitiesActual

The value of 1 + tanh x 1 - tanh x is

Options

  1. Ae x
  2. Be - 2 x
  3. Ce 2 x
  4. De - x

Correct answer

C. e 2 x

Step-by-step solution

Putting the value of tan h x in terms of e x we get, 1 + tanh x 1 − tanh x = 1 + e x − e − x e x + e − x 1 − e x − e − x e x + e − x = e x + e − x + e x − e − x e x + e − x − e x + e − x = 2 e x 2 e − x = e 2 x .

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