When hyperbolic function keys are not available on a calculator, it is still possible to evaluate the
Question:
When hyperbolic function keys are not available on a calculator, it is still possible to evaluate the inverse hyperbolic functions by expressing them as logarithms, as shown here.
Use the formulas in the box here to express the numbers in terms of natural logarithms.
tanh-1 (-1/2)
Transcribed Image Text:
sinh'x = In(x + √x² + 1), cosh¹x = In (x + √x² - 1), 1 + x 1 - x' 1 + tanh1x = 1/10/ In sech ¹x csch"¹x = In ( ++* x² 1 Х |x| coth ¹x = In V1 - x² X x + 1 x - 1 In -∞ < x <∞ x ≥ 1 |x | < 1 0 < x≤ 1 x = 0 |x| > 1
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Using the formula for the inverse hyperbolic tangent function ...View the full answer
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Related Book For
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
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