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Prove that the inverse hyperbolic functions can be written in terms of logarithms as shown in the question.
cosh^-1 x=ln(x+â(x^2 â1)),forxâ¥1
dx 1 .2 Prove that the inverse hyperbolic functions can be written in terms of logarithms as shown in Exercises 97-99. (Hint for the first problem: Solve sinh y = x for y by using algebra to get an expression that is quadratic in e (i.e, of the form ae2y +be + c) and then applying the quadratic formula.) (These exercises ivolve hyperbolic functions) 97. sinh-1 x=ln(x+VX2+1) for any x. cosh-1 x = In(x + 99, tanh-1x=-In 0 _ 1), for x > 1 for-1 Comments
Prove that the inverse hyperbolic functions can be written in terms of logarithms as shown in the question.
cosh^-1 x=ln(x+â(x^2 â1)),forxâ¥1
dx 1 .2 Prove that the inverse hyperbolic functions can be written in terms of logarithms as shown in Exercises 97-99. (Hint for the first problem: Solve sinh y = x for y by using algebra to get an expression that is quadratic in e (i.e, of the form ae2y +be + c) and then applying the quadratic formula.) (These exercises ivolve hyperbolic functions) 97. sinh-1 x=ln(x+VX2+1) for any x. cosh-1 x = In(x + 99, tanh-1x=-In 0 _ 1), for x > 1 for-1
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Patrina SchowalterLv2
7 Apr 2019