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Domain Of Cotangent Functions

Find the domain of function $y=\cot3x$ .

$x\ ∈\ R,\ x\ne\frac{n\pi}{3}$

$x\ ∈\ R,\ x=n\ \pi\pm\frac{\pi}{2}$

$x\ ∈\ R,\ x\ne\left(2n+1\right)\frac{\pi}{2}$

Find the domain of function $y=-5\cot\left(\frac{x}{2}\right)$ .

$x\ ∈\ R,\ x\ne n\ \pi\pm\frac{\pi}{3}$

$x\ ∈\ R,\ x\ne\left(2n\right)\pi$

$x\ ∈\ R,\ x\ne\left(2n+1\right)\frac{\pi}{2}$

Find the domain of function $y=\cot\left(\frac{x}{2}\right)$ .

$x\ ∈\ R,\ x\ne n\ \pi\pm\frac{\pi}{3}$

$x\ ∈\ R,\ x\ne\left(2n\right)\pi$

$x\ ∈\ R,\ x\ne\left(2n+1\right)\frac{\pi}{2}$

Find the domain of function $y=1+2\cot x$ .

$x\ ∈\ R,\ x\ne n\ \pi$

$x\ ∈\ R,\ x=n\ \pi\pm\frac{\pi}{2}$

$x\ ∈\ R,\ x\ne\left(2n+1\right)\frac{\pi}{2}$

Find the domain of function $y=-5\cot x$ .

$x\ ∈\ R,\ x\ne n\ \pi$

$x\ ∈\ R,\ x=n\ \pi\pm\frac{\pi}{2}$

$x\ ∈\ R,\ x\ne\left(2n+1\right)\frac{\pi}{2}$

Find the domain of function $y=\cot7x$ .

$x\ ∈\ R,\ x\ne\frac{\pi}{7}\pm\frac{n\pi}{2}$

$x\ ∈\ R,\ x=n\ \pi\pm\frac{\pi}{2}$

$x\ ∈\ R,\ x\ne\frac{n\pi}{7}$

Find the domain of function $y=3\cot\left(\frac{x}{3}\right)+1$ .

$x\ ∈\ R,\ x\ne n\ \pi\pm\frac{\pi}{2}$

$x\ ∈\ R,\ x\ne3n\pi$

$x\ ∈\ R,\ x=n\ \pi\pm\frac{\pi}{2}$

Find the domain of function $y=\cot2x$ .

$x\ ∈\ R,\ x\ne\frac{\pi}{4}\pm\frac{n\pi}{2}$

$x\ ∈\ R,\ x=n\ \pi\pm\frac{\pi}{2}$

$x\ ∈\ R,\ x\ne\frac{n\pi}{2}$

Find the domain of function $y=-4\cot3x$ .

$x\ ∈\ R,\ x\ne\frac{n\pi}{3}$

$x\ ∈\ R,\ x=n\ \pi\pm\frac{\pi}{2}$

$x\ ∈\ R,\ x\ne\left(2n+1\right)\frac{\pi}{2}$

Find the domain of function $y=\cot5x$ .

$x\ ∈\ R,\ x\ne\frac{\pi}{4}\pm\frac{n\pi}{2}$

$x\ ∈\ R,\ x\ne\frac{n\pi}{5}$

$x\ ∈\ R,\ x\ne\frac{\pi}{10}\pm\frac{n\pi}{5}$

Questions

Time

Score

Domain Of Cotangent Functions

Find the domain of function ﻿y=cot⁡3xy=\cot3xy=cot3x﻿.

﻿x ∈ R, x≠nπ3x\ ∈\ R,\ x\ne\frac{n\pi}{3}x ∈ R, x=3nπ​﻿

﻿x ∈ R, x=n π±π2x\ ∈\ R,\ x=n\ \pi\pm\frac{\pi}{2}x ∈ R, x=n π±2π​﻿

﻿x ∈ R, x≠(2n+1)π2x\ ∈\ R,\ x\ne\left(2n+1\right)\frac{\pi}{2}x ∈ R, x=(2n+1)2π​﻿

Find the domain of function ﻿y=−5cot⁡(x2)y=-5\cot\left(\frac{x}{2}\right)y=−5cot(2x​)﻿.

﻿x ∈ R, x≠n π±π3x\ ∈\ R,\ x\ne n\ \pi\pm\frac{\pi}{3}x ∈ R, x=n π±3π​﻿

﻿x ∈ R, x≠(2n)πx\ ∈\ R,\ x\ne\left(2n\right)\pix ∈ R, x=(2n)π﻿

﻿x ∈ R, x≠(2n+1)π2x\ ∈\ R,\ x\ne\left(2n+1\right)\frac{\pi}{2}x ∈ R, x=(2n+1)2π​﻿

Find the domain of function ﻿y=cot⁡(x2)y=\cot\left(\frac{x}{2}\right)y=cot(2x​)﻿.

﻿x ∈ R, x≠n π±π3x\ ∈\ R,\ x\ne n\ \pi\pm\frac{\pi}{3}x ∈ R, x=n π±3π​﻿

﻿x ∈ R, x≠(2n)πx\ ∈\ R,\ x\ne\left(2n\right)\pix ∈ R, x=(2n)π﻿

﻿x ∈ R, x≠(2n+1)π2x\ ∈\ R,\ x\ne\left(2n+1\right)\frac{\pi}{2}x ∈ R, x=(2n+1)2π​﻿

Find the domain of function ﻿y=1+2cot⁡xy=1+2\cot xy=1+2cotx﻿.

﻿x ∈ R, x≠n πx\ ∈\ R,\ x\ne n\ \pix ∈ R, x=n π﻿

﻿x ∈ R, x=n π±π2x\ ∈\ R,\ x=n\ \pi\pm\frac{\pi}{2}x ∈ R, x=n π±2π​﻿

﻿x ∈ R, x≠(2n+1)π2x\ ∈\ R,\ x\ne\left(2n+1\right)\frac{\pi}{2}x ∈ R, x=(2n+1)2π​﻿

Find the domain of function ﻿y=−5cot⁡xy=-5\cot xy=−5cotx﻿.

﻿x ∈ R, x≠n πx\ ∈\ R,\ x\ne n\ \pix ∈ R, x=n π﻿

﻿x ∈ R, x=n π±π2x\ ∈\ R,\ x=n\ \pi\pm\frac{\pi}{2}x ∈ R, x=n π±2π​﻿

﻿x ∈ R, x≠(2n+1)π2x\ ∈\ R,\ x\ne\left(2n+1\right)\frac{\pi}{2}x ∈ R, x=(2n+1)2π​﻿

Find the domain of function ﻿y=cot⁡7xy=\cot7xy=cot7x﻿.

﻿x ∈ R, x≠π7±nπ2x\ ∈\ R,\ x\ne\frac{\pi}{7}\pm\frac{n\pi}{2}x ∈ R, x=7π​±2nπ​﻿

﻿x ∈ R, x=n π±π2x\ ∈\ R,\ x=n\ \pi\pm\frac{\pi}{2}x ∈ R, x=n π±2π​﻿

﻿x ∈ R, x≠nπ7x\ ∈\ R,\ x\ne\frac{n\pi}{7}x ∈ R, x=7nπ​﻿

Find the domain of function ﻿y=3cot⁡(x3)+1y=3\cot\left(\frac{x}{3}\right)+1y=3cot(3x​)+1﻿.

﻿x ∈ R, x≠n π±π2x\ ∈\ R,\ x\ne n\ \pi\pm\frac{\pi}{2}x ∈ R, x=n π±2π​﻿

﻿x ∈ R, x≠3nπx\ ∈\ R,\ x\ne3n\pix ∈ R, x=3nπ﻿

﻿x ∈ R, x=n π±π2x\ ∈\ R,\ x=n\ \pi\pm\frac{\pi}{2}x ∈ R, x=n π±2π​﻿

Find the domain of function ﻿y=cot⁡2xy=\cot2xy=cot2x﻿.

﻿x ∈ R, x≠π4±nπ2x\ ∈\ R,\ x\ne\frac{\pi}{4}\pm\frac{n\pi}{2}x ∈ R, x=4π​±2nπ​﻿

﻿x ∈ R, x=n π±π2x\ ∈\ R,\ x=n\ \pi\pm\frac{\pi}{2}x ∈ R, x=n π±2π​﻿

﻿x ∈ R, x≠nπ2x\ ∈\ R,\ x\ne\frac{n\pi}{2}x ∈ R, x=2nπ​﻿

Find the domain of function ﻿y=−4cot⁡3xy=-4\cot3xy=−4cot3x﻿.

﻿x ∈ R, x≠nπ3x\ ∈\ R,\ x\ne\frac{n\pi}{3}x ∈ R, x=3nπ​﻿

﻿x ∈ R, x=n π±π2x\ ∈\ R,\ x=n\ \pi\pm\frac{\pi}{2}x ∈ R, x=n π±2π​﻿

﻿x ∈ R, x≠(2n+1)π2x\ ∈\ R,\ x\ne\left(2n+1\right)\frac{\pi}{2}x ∈ R, x=(2n+1)2π​﻿

Find the domain of function ﻿y=cot⁡5xy=\cot5xy=cot5x﻿.

﻿x ∈ R, x≠π4±nπ2x\ ∈\ R,\ x\ne\frac{\pi}{4}\pm\frac{n\pi}{2}x ∈ R, x=4π​±2nπ​﻿

﻿x ∈ R, x≠nπ5x\ ∈\ R,\ x\ne\frac{n\pi}{5}x ∈ R, x=5nπ​﻿

﻿x ∈ R, x≠π10±nπ5x\ ∈\ R,\ x\ne\frac{\pi}{10}\pm\frac{n\pi}{5}x ∈ R, x=10π​±5nπ​﻿

Incorrect

Great!

Find the domain of function $y=\cot3x$ .

$x\ ∈\ R,\ x\ne\frac{n\pi}{3}$

$x\ ∈\ R,\ x=n\ \pi\pm\frac{\pi}{2}$

$x\ ∈\ R,\ x\ne\left(2n+1\right)\frac{\pi}{2}$

Find the domain of function $y=-5\cot\left(\frac{x}{2}\right)$ .

$x\ ∈\ R,\ x\ne n\ \pi\pm\frac{\pi}{3}$

$x\ ∈\ R,\ x\ne\left(2n\right)\pi$

$x\ ∈\ R,\ x\ne\left(2n+1\right)\frac{\pi}{2}$

Find the domain of function $y=\cot\left(\frac{x}{2}\right)$ .

$x\ ∈\ R,\ x\ne n\ \pi\pm\frac{\pi}{3}$

$x\ ∈\ R,\ x\ne\left(2n\right)\pi$

$x\ ∈\ R,\ x\ne\left(2n+1\right)\frac{\pi}{2}$

Find the domain of function $y=1+2\cot x$ .

$x\ ∈\ R,\ x\ne n\ \pi$

$x\ ∈\ R,\ x=n\ \pi\pm\frac{\pi}{2}$

$x\ ∈\ R,\ x\ne\left(2n+1\right)\frac{\pi}{2}$

Find the domain of function $y=-5\cot x$ .

$x\ ∈\ R,\ x\ne n\ \pi$

$x\ ∈\ R,\ x=n\ \pi\pm\frac{\pi}{2}$

$x\ ∈\ R,\ x\ne\left(2n+1\right)\frac{\pi}{2}$

Find the domain of function $y=\cot7x$ .

$x\ ∈\ R,\ x\ne\frac{\pi}{7}\pm\frac{n\pi}{2}$

$x\ ∈\ R,\ x=n\ \pi\pm\frac{\pi}{2}$

$x\ ∈\ R,\ x\ne\frac{n\pi}{7}$

Find the domain of function $y=3\cot\left(\frac{x}{3}\right)+1$ .

$x\ ∈\ R,\ x\ne n\ \pi\pm\frac{\pi}{2}$

$x\ ∈\ R,\ x\ne3n\pi$

$x\ ∈\ R,\ x=n\ \pi\pm\frac{\pi}{2}$

Find the domain of function $y=\cot2x$ .

$x\ ∈\ R,\ x\ne\frac{\pi}{4}\pm\frac{n\pi}{2}$

$x\ ∈\ R,\ x=n\ \pi\pm\frac{\pi}{2}$

$x\ ∈\ R,\ x\ne\frac{n\pi}{2}$

Find the domain of function $y=-4\cot3x$ .

$x\ ∈\ R,\ x\ne\frac{n\pi}{3}$

$x\ ∈\ R,\ x=n\ \pi\pm\frac{\pi}{2}$

$x\ ∈\ R,\ x\ne\left(2n+1\right)\frac{\pi}{2}$

Find the domain of function $y=\cot5x$ .

$x\ ∈\ R,\ x\ne\frac{\pi}{4}\pm\frac{n\pi}{2}$

$x\ ∈\ R,\ x\ne\frac{n\pi}{5}$

$x\ ∈\ R,\ x\ne\frac{\pi}{10}\pm\frac{n\pi}{5}$