Help Needed With Trig

[static carbon]

sin(x) = 0 has infinitely many solutions, that is
$$x = \pi\cdot k,; k \in \mathbb{Z}$$

[echo kayak]

Frogieder

[static carbon]

So now, you just need to find the ones that lay on the given interval

Thus, you can see that $x \in \{ -\pi,\ 0,\ +\pi \} $

(come on, TeXit bot, why can't you compile?)

[modern wind]

@static carbon

Hey

can you type the answer

[static carbon]

-pi, 0, pi

Oh, wait, I've just realised...

I did it wrong

Most of it should be right

However, I made a substitution, which was poorly denoted

[static carbon]

sin(t) = 0

Thus, t = pi*k, where k is a whole number

But t = x - pi/3, so
x = t - pi/3

Thus, there are only two solutions for x

-pi/3 and pi/6

[modern wind]

@static carbon