I'm trying to find an equation that allows me to find the time of x of the sine wave based on the y position.
For example:
- The y position of 0.25 on the sine wave should equal to 0.0804 in x time
- y0.5 = x0.1667 ((pi/6)/pi)
- y0.75 = x0.2699
- y1 = x0.5
and not to mention the other x values on the other side of the sine in this picture below, if it's possible.
I looked everywhere as I can and tried many equations but none of them work and I can't find the equation I'm looking for that would help me get all those x values and more values in between, so I thought I could ask for help because I've been stuck on this math problem for days, thank you.
I'm going to post this as an answer, just to leave this for anybody who might have the same trouble. Sorry for the late response; I got preoccupied with something and just kind of forgot about the forum for a good while.
Credit goes to Karl for telling me to use the arcsine in the comments above.
Here's the math and an example for anybody's perusal.
$$\sin(xπ)$$
$$a=amplitude / Y position$$
$$x = \frac{\arcsin(a)}\pi$$
$$x = 1-\frac{\arcsin(a)}\pi$$