$y=\cot\left(2x\right)$

$y=2\cot\left(\frac{\pi}{2}x\right)$

$y=\tan\left(\frac{\pi}{2}x\right)$

$y=\tan\left(x\right)$

all real numbers

all real numbers except odd multiples of $\frac{\pi}{2}$

all multiples of  $\frac{\pi}{4}$  

odd multiples of  $\frac{\pi}{4}$  

odd multiples of  $\frac{\pi}{2}$  

all multiples of  $\frac{\pi}{2}$  

all multiples of $\frac{\pi}{4}$

odd multiples of $\frac{\pi}{4}$

odd multiples of $\frac{\pi}{2}$

all multiples of $\frac{\pi}{2}$

$y=3\csc\left(2x\right)$

$y=2\csc\left(3x\right)$

$y=2\sec\left(3x\right)$

$y=3\sec\left(\pi x\right)$

all real numbers

all real numbers except odd multiples of $\frac{\pi}{2}$

all real numbers except odd multiples of $\frac{\pi}{2}$

all real numbers except multiples of $\frac{\pi}{2}$

all real numbers except multiples of $\pi$

all real numbers

$y=2\sec\left(2x\right)$

$y=2\csc\left(\pi x\right)$

$y=2\sec\left(\frac{3\pi}{4}x\right)$

$y=3\csc\left(2x\right)$

all real numbers

all real numbers except odd multiples of $\frac{\pi}{2}$

all real numbers except odd multiples of $\frac{\pi}{4}$

all real numbers except multiples of $\frac{\pi}{2}$

all real numbers except multiples of $\frac{\pi}{4}$

all real numbers

$y=3\sec\left(\frac{x}{3}\right)$

$y=3\sec\left(\frac{x}{6\pi}\right)$

$y=3\csc\left(3\pi x\right)$

$y=3\csc\left(\frac{x}{3}\right)$

all real numbers

 $\frac{1}{5}$  

 $10\pi$  

 $2\pi$  

 $5\pi$  

all real numbers except odd multiples $\frac{\pi}{3}$  

all real number except multiples of  $\frac{\pi}{3}$   

all real numbers

all real numbers except multiples of  $\pi$  

3 

  $\frac{\pi}{3}$   

 $4\pi$  

  $\pi$  

odd multiples of  $\frac{\pi}{6}$  

 odd multiples of $\frac{\pi}{3}$   

all multiples of $\frac{\pi}{6}$  

 off multiples of $3\pi$