what is the period of $f(x)=sin(x)$?\n$\frac{pi}{2}$\n$pi$\n$\frac{3pi}{2}$\n$2pi$
what is the period of $f(x)=sin(x)$?\n$\frac{pi}{2}$\n$pi$\n$\frac{3pi}{2}$\n$2pi$
Answer
Explanation:
Step1: Recall period - definition
The period of a function (y = f(x)) is the smallest positive number (T) such that (f(x + T)=f(x)) for all (x) in the domain of (f).
Step2: Recall sine - function property
For the sine function (y = \sin(x)), (\sin(x + 2\pi)=\sin(x)) for all real - valued (x). And there is no positive number (T<2\pi) such that (\sin(x + T)=\sin(x)) for all (x).
Answer:
D. (2\pi)