Question

question 15 (1 point) ✓ saved
the domain of the graph of sin x is
a) $-2\pi \leq x \leq 2\pi$
b) $0 \leq x \leq 2\pi$
c) $x \in \mathbb{r}$
d) $-1 \leq x \leq 1$

Explanation:

Step1: Recall the definition of domain

The domain of a function is the set of all possible input values (x - values) for which the function is defined.

Step2: Analyze the sine function \(y = \sin(x)\)

The sine function \(y=\sin(x)\) is defined for all real - valued input \(x\). There is no real number \(x\) for which \(\sin(x)\) is undefined.

Answer:

C. \(x\in\mathbb{R}\)