12 Graphs & Properties of tan, cot, sec, csc

Choose the equation of the function.

• $y=\frac{1}{2}\tan\left(2x\right)$

• $y=2\cot\left(2x\right)$

• $y=\frac{1}{2}\tan\left(\frac{\pi}{2}x\right)$

• $y=\frac{1}{2}\cot\left(x\right)$

What is the domain?  

• 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 $\pi$ 

• all real numbers

What is the range?  

• all real numbers

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

Choose the equation of the function.

• $y=\cot\left(2x\right)$

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

• $y=\tan\left(\frac{\pi}{2}x\right)$

• $y=\tan\left(x\right)$

What is the domain?

• 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

What is the range?

• all real numbers

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

What are the zeros of the function?  

• all multiples of  $\frac{\pi}{4}$  

• odd multiples of  $\frac{\pi}{4}$  

• odd multiples of  $\frac{\pi}{2}$  

• all multiples of  $\frac{\pi}{2}$  

What are the zeros of the function?

• all multiples of $\frac{\pi}{4}$

• odd multiples of $\frac{\pi}{4}$

• odd multiples of $\frac{\pi}{2}$

• all multiples of $\frac{\pi}{2}$

Choose the equation of the function.

• $y=3\csc\left(2x\right)$

• $y=2\csc\left(3x\right)$

• $y=2\sec\left(3x\right)$

• $y=3\sec\left(\pi x\right)$

What is the range?

• all real numbers

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