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Determine the period from a sine or cosine function in equation form

What is the period of $3\ f\left(x\right)=5\ \cos\left(\frac{x}{2}+3\right)$ ?

$\pi$

$4\pi$

$\frac{\pi}{3}$

What is the period of $4\ f\left(x\right)=\cos\left(2x+3\right)$ ?

$\pi$

$2\pi$

$\frac{\pi}{3}$

What is the period of $3\ f\left(x\right)=6\cos\ \left(x+3\right)$ ?

$\pi$

$2\pi$

$\frac{\pi}{3}$

What is the period of $f\left(x\right)=\cos x$ ?

$\pi$

$2\pi$

$\frac{\pi}{2}$

What is the period of $3\ f\left(x\right)=\sin\left(\frac{x}{2}+3\right)$ ?

$\pi$

$4\pi$

$\frac{\pi}{3}$

What is the period of $3\ f\left(x\right)=\sin\left(6x\ +3\right)$ ?

$\pi$

$2\pi$

$\frac{\pi}{3}$

What is the period of $3\ f\left(x\right)=2\cos\left(8x+3\right)$ ?

$\pi$

$2\pi$

$\frac{\pi}{4}$

What is the period of $3\ f\left(x\right)=7\ \sin\left(2x+3\right)$ ?

$\pi$

$2\pi$

$\frac{\pi}{3}$

What is the period of $9\ f\left(x\right)=\sin\left(6x+5\right)$ ?

$\pi$

$2\pi$

$\frac{\pi}{3}$

What is the period of $3\ f\left(x\right)=\cos\ \left(x+3\right)$ ?

$\pi$

$2\pi$

$\frac{\pi}{3}$

Questions

Time

Score

Determine the period from a sine or cosine function in equation form

What is the period of ﻿3 f(x)=5 cos⁡(x2+3)3\ f\left(x\right)=5\ \cos\left(\frac{x}{2}+3\right)3 f(x)=5 cos(2x​+3)﻿?

﻿π\piπ﻿

﻿4π4\pi4π﻿

﻿π3\frac{\pi}{3}3π​﻿

What is the period of ﻿4 f(x)=cos⁡(2x+3)4\ f\left(x\right)=\cos\left(2x+3\right)4 f(x)=cos(2x+3)﻿?

﻿π\piπ﻿

﻿2π2\pi2π﻿

﻿π3\frac{\pi}{3}3π​﻿

What is the period of ﻿3 f(x)=6cos⁡ (x+3)3\ f\left(x\right)=6\cos\ \left(x+3\right)3 f(x)=6cos (x+3)﻿?

﻿π\piπ﻿

﻿2π2\pi2π﻿

﻿π3\frac{\pi}{3}3π​﻿

What is the period of ﻿f(x)=cos⁡xf\left(x\right)=\cos xf(x)=cosx﻿?

﻿π\piπ﻿

﻿2π2\pi2π﻿

﻿π2\frac{\pi}{2}2π​﻿

What is the period of ﻿3 f(x)=sin⁡(x2+3)3\ f\left(x\right)=\sin\left(\frac{x}{2}+3\right)3 f(x)=sin(2x​+3)﻿?

﻿π\piπ﻿

﻿4π4\pi4π﻿

﻿π3\frac{\pi}{3}3π​﻿

What is the period of ﻿3 f(x)=sin⁡(6x +3)3\ f\left(x\right)=\sin\left(6x\ +3\right)3 f(x)=sin(6x +3)﻿?

﻿π\piπ﻿

﻿2π2\pi2π﻿

﻿π3\frac{\pi}{3}3π​﻿

What is the period of ﻿3 f(x)=2cos⁡(8x+3)3\ f\left(x\right)=2\cos\left(8x+3\right)3 f(x)=2cos(8x+3)﻿?

﻿π\piπ﻿

﻿2π2\pi2π﻿

﻿π4\frac{\pi}{4}4π​﻿

What is the period of ﻿3 f(x)=7 sin⁡(2x+3)3\ f\left(x\right)=7\ \sin\left(2x+3\right)3 f(x)=7 sin(2x+3)﻿?

﻿π\piπ﻿

﻿2π2\pi2π﻿

﻿π3\frac{\pi}{3}3π​﻿

What is the period of ﻿9 f(x)=sin⁡(6x+5)9\ f\left(x\right)=\sin\left(6x+5\right)9 f(x)=sin(6x+5)﻿?

﻿π\piπ﻿

﻿2π2\pi2π﻿

﻿π3\frac{\pi}{3}3π​﻿

What is the period of ﻿3 f(x)=cos⁡ (x+3)3\ f\left(x\right)=\cos\ \left(x+3\right)3 f(x)=cos (x+3)﻿?

﻿π\piπ﻿

﻿2π2\pi2π﻿

﻿π3\frac{\pi}{3}3π​﻿

Incorrect

Great!

What is the period of $3\ f\left(x\right)=5\ \cos\left(\frac{x}{2}+3\right)$ ?

$\pi$

$4\pi$

$\frac{\pi}{3}$

What is the period of $4\ f\left(x\right)=\cos\left(2x+3\right)$ ?

$\pi$

$2\pi$

$\frac{\pi}{3}$

What is the period of $3\ f\left(x\right)=6\cos\ \left(x+3\right)$ ?

$\pi$

$2\pi$

$\frac{\pi}{3}$

What is the period of $f\left(x\right)=\cos x$ ?

$\pi$

$2\pi$

$\frac{\pi}{2}$

What is the period of $3\ f\left(x\right)=\sin\left(\frac{x}{2}+3\right)$ ?

$\pi$

$4\pi$

$\frac{\pi}{3}$

What is the period of $3\ f\left(x\right)=\sin\left(6x\ +3\right)$ ?

$\pi$

$2\pi$

$\frac{\pi}{3}$

What is the period of $3\ f\left(x\right)=2\cos\left(8x+3\right)$ ?

$\pi$

$2\pi$

$\frac{\pi}{4}$

What is the period of $3\ f\left(x\right)=7\ \sin\left(2x+3\right)$ ?

$\pi$

$2\pi$

$\frac{\pi}{3}$

What is the period of $9\ f\left(x\right)=\sin\left(6x+5\right)$ ?

$\pi$

$2\pi$

$\frac{\pi}{3}$

What is the period of $3\ f\left(x\right)=\cos\ \left(x+3\right)$ ?

$\pi$

$2\pi$

$\frac{\pi}{3}$