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Plotting hyperbolic functions in parametric form

1. Hi, so I would like to plot the following graph in parametric form:

t = m(sinh2x - 2x)
a = m(cosh2x - 1)

I do not know how to even begin sketching this graph. Although I considered the limit of t/a as x tends to infinity and it turned out to be 1 which means that for large t, a will behave linearly (i.e. gradient = 1)

Thanks!
2. (Original post by spacewalker)
Hi, so I would like to plot the following graph in parametric form:

t = m(sinh2x - 2x)
a = m(cosh2x - 1)

I do not know how to even begin sketching this graph. Although I considered the limit of t/a as x tends to infinity and it turned out to be 1 which means that for large t, a will behave linearly (i.e. gradient = 1)

Thanks!
To get you started:

What quadrants is it going to be in?

Is there a symmetry?

Easy points that it goes through?

Gradient +ve, -ve, or a mix?

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Updated: October 17, 2016
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