Question

Choice #2: Describe each of the following properties of the graph of the Sine Function, f(0) = sin(0) and relate the property to the unit circle definition of sine.

Amplitude
Period
Domain
Range
x-intercepts

Answer 1

the period of the sine function is \(2\pi\) that is
\[ \large \sin(x+2\pi)=\sin x \]

Answer 2

u can get the sine of any number so its domain is \(\mathbb{R}\).

for the range \(-1\leq\sin x\leq1\)

Answer 3

for the x-intercepts
\[ \large 0=\sin 0=\sin(k\pi) \]
where k is any integer.