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.
csch-1(-1/√3)
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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ANSWER We have csch1x ln1x 1x2 1 so csch113 can be writ...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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