# Difficult variable to solve for. includes hyperbolic cos.

• Mar 19th 2013, 03:51 PM
dtemp93
Difficult variable to solve for. includes hyperbolic cos.
I have the equation y = 1/k * ln(cosh(SQRT(g*k)*t))

My goal is to solve for k. This is for aerospace engineering and "k" includes a variable that I need.

I have rearranged two ways already:
1) k = (acosh2(eyk))/(g*t2)

2) k = ln(cosh(SQRT(g*k)*t))/y

I have NO IDEA as I am only a freshman. How do I get k to a single side? I would greatly appreciate help with this.

Best regards,
Dwight
• Mar 19th 2013, 04:53 PM
Prove It
Re: Difficult variable to solve for. includes hyperbolic cos.
You will not be able to get an explicit expression for k.
• Mar 19th 2013, 04:59 PM
dtemp93
Re: Difficult variable to solve for. includes hyperbolic cos.
How can I remotely solve for it? I have MathCad available for use; however, we are expected to do this and I don't know where to start.
• Mar 19th 2013, 05:08 PM
Prove It
Re: Difficult variable to solve for. includes hyperbolic cos.
That depends, do you have values of y and t to put in?
• Mar 19th 2013, 05:32 PM
dtemp93
Re: Difficult variable to solve for. includes hyperbolic cos.
yes I do. I have a table of data from an accelerometer.
• Mar 19th 2013, 08:07 PM
Prove It
Re: Difficult variable to solve for. includes hyperbolic cos.
You could try to use something like Newton's method...