How do you make y= sin(sqrt(5x + 3)) in terms of y? :/

[Lo.Lee.Ta.]

1. Yes, I don't know this. =.=

So how to you move sine to the y side?

You can't say: arcsin(y) = sqrt(5x + 3), can you...?

I don't know how to move the sin!
Help!
Thank you! :)

 

[Dick]

1. Yes, I don't know this. =.=

So how to you move sine to the y side?

You can't say: arcsin(y) = sqrt(5x + 3), can you...?

I don't know how to move the sin!
Help!
Thank you! :)

You can do that as long as you realize it will only be valid for -pi/2<=sqrt(5x+3)<=pi/2.

 

[I like Serena]

Hi Lo.Lee.Ta.!

Generally, the equation
$$y=sin(\theta)$$
is equivalent to
$$\theta=\arcsin(y)+ 2k\pi \quad \vee \quad \theta=\pi - \arcsin(y) + 2k\pi$$
where $k$ is an integer and $\theta$ is an angle in radians.