# B Help simplifying an equation

1. Sep 23, 2017

### rede96

Hi, just wondering if anyone could help me simplify (if possible) the following two equations.

x = sin((cos(((1-(cos(θ/2)^2))*360)/2)+1)/2*θ)*(d/2)

x = cos((cos(((1-(cos(θ/2)^2))*360)/2)+1)/2*θ)*d/2)*2

My math is pretty crap, so any help would be appreciated.

Thanks

2. Sep 23, 2017

### Staff: Mentor

Apart from some formatting and $1-\cos^2(x) = \sin^2(x)$ , there is not much to simplify. It has an interesting contour plot, however.

3. Sep 23, 2017

### rede96

Oh well, will have to use them in the current form. Thanks anyway.

If you don't mind me asking (as I really am crap at math) why is the contour plot interesting?

4. Sep 23, 2017

### Staff: Mentor

It looks like right from a seismograph or a piece of modern art.

5. Sep 23, 2017

### Math_QED

Tbh, I didn't see anything special in it either.

6. Sep 23, 2017

### Staff: Mentor

7. Sep 26, 2017

### Edgardo

I typed your equation and "simplify" into wolframalpha, and this is what I got
It has a simpler looking form for x, d and theta real.

8. Sep 26, 2017

### Staff: Mentor

My guess is that this is incorrect, as the 360 smells of degrees, leading to a much too rapid oscillation and a crappy contour plot. Change the 360 to 2*pi and you get something much more banal.

This is the same result as