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A Value Of sinhx\sinh x Or coshx\cosh x Is Given Use the Definitions and the Identity

Question 132

Multiple Choice

A value of sinhx\sinh x or coshx\cosh x is given. Use the definitions and the identity cosh2xsinh2x=1\cosh ^ { 2 } x - \sinh ^ { 2 } x = 1 to find the value of the other indicated hyperbolic function.
- coshx=1312,x>0,tanhx=\cosh x = \frac { 13 } { 12 } , x > 0 , \tanh x =


A) 513\frac { 5 } { 13 }
B) 512\frac { 5 } { 12 }
C) 25144- \frac { 25 } { 144 }
D) 135\frac { 13 } { 5 }

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