# How to rearrange this trig function?

How do I rearrange this where do I begin?

$$y= -2sin [ 2\pi * \frac {(t+1)} {3} ]$$

I need to state the period, amplitude, max/min, range, domain, horizontal phase shift, and vertical displacement

Im not sure how to rearrange the square brackets.

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I would distribute the $$2\pi$$ and then separate the terms into the form of $$-2\sin{(At + B)}$$. A and B will both be fractions, but setting it up in that way will allow you to more easily find all of the things you are looking for.

EDIT: The below method could be easier for you.

Last edited:
Fermat
Homework Helper
aisha said:
How do I rearrange this where do I begin?

$$y= -2sin [ 2\pi * \frac {(t+1)} {3} ]$$

I need to state the period, amplitude, max/min, range, domain, horizontal phase shift, and vertical displacement

Im not sure how to rearrange the square brackets.
rearrange it like this.
$$y= -2sin [ \frac{2\pi}{3} *(t+1) ]$$
If you're still stuck, look here for some help

the general form for a sine function is

y = a sin(bx - c) + d

what do each of these letters (a, b, c, and d) do?

what are the values of a, b, c, and d for the function you wrote down? you may need to do some distributing to get into this general form.

Thanks so much that is a BIG HUGE HELP :rofl:

I needed to find the properties of this trig function this is what i got

period=3
amplitude=0
max=2
min=-2
range{y:-2<=y<=2}
domain {x:XER}
horizontal phase shift 1 unit left
no vertical shift

Are these values correct? Should period have a unit with it or is just 3 fine? What about the amplitude is 0 amplitude possible?