im stumped

[ashen meteor]

It seems to be asking you to convert 225 degrees into radians

The first statement that says “theta that is between 0deg and 360deg” is just elaborating on how a sine function cant be over 2pi or less than 0 radians

I trust that you can convert degrees to radians

[surreal lagoon]

sine is a periodical function

it repeats every 360 degrees

and the first 180 degrees is positive

the second is negative

which means that for a value sin theta

there is another value that will be the same

and the values will be symmetrical across the axis theta = 90

[ashen meteor]

ohhh

[surreal lagoon]

im constructing a graph to make it look more clear

[surreal lagoon]

https://www.desmos.com/calculator/cco8zfdohk

there you go, thats a pretty clear visual on why this happens.

[teal lichen]

sin(A+360deg) = sin(A)

[surreal lagoon]

Or you could just say that

[ashen meteor]

but how does it comply that theta cant be over 360 or less than 0 deg

or sin(135) does not equal to sin(225)

oh nvm i get the question now

so we’re ignoring the negative?

[surreal lagoon]

?

So imagine an angle

And then add 360 to it

[ashen meteor]

It literally said that theta cant be over 360

[surreal lagoon]

And if it’s over 360 you can take away 360

[ashen meteor]

oh

[surreal lagoon]

And it won’t change anything

But you can take away 360 as many times as you want

And add as many times

[ashen meteor]

so whats the answer to this problem then

[teal lichen]

alpha = 2(theta - (theta % 180) + 90) - theta

[surreal lagoon]

The graph that I sent demonstrates that if you have an angle, it can be reflected across the bump of the wave it’s on

[ashen meteor]

Thanks

[teal lichen]

its made by @surreal lagoon

[surreal lagoon]

I tried to make it more visual but I think I just complicated things

[teal lichen]

.solved