Does $\frac{\sin^2(x)}{\sin(x)} = \sin(x)$?

Question

Is $\sin^2 (x)$ equal to $(\sin(x))^2$, and if so, does that mean that $\frac{\sin^2(x)}{\sin(x)} = \sin(x)$?

Answer 1

You are correct that:

$$\sin^2(x)=(\sin(x))^2$$

Although

$$\frac{\sin^2(x)}{\sin(x)}=\sin(x)$$

is not quite true. You need to specify that $\sin(x)\neq 0$. The equality is true for all $x$ such that $\sin(x) \neq 0$, however.