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I have the equation:

$$d=\frac{t}{2}-\frac{sin(t)}{4}$$

I'm completely failing at how to get this in terms of $t$

I only care about it for values of $0<t<2\pi $

I've seen the graph so I know there's an inverse of it but I'm struggling on getting there

haqnatural
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Caps
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1 Answers1

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I do not think it is possible. If we look at a simpler version of the problem, $$\sin(t) = t,$$ we could maybe divide both sides by $t$ to get $$\frac{\sin(t)}{t} = 1.$$ Then we could take the inverse sinc function(if it exists) on both sides. If sinc inverse exists, then I think that it should be restricted in its domain in order to be a function.

However with a problem like this, I do not think it is possible to isolate $t$ or to get the inverse sinc function.

Akil
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