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

1.

Choose the equation of the function.

a)

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

b)

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

c)

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

d)

$y=\frac{1}{2}\cot\left(x\right)$

2.

What is the domain?

a)

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

b)

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

c)

all real numbers except multiples of $\pi$

d)

all real numbers

3.

What is the range?

a)

all real numbers

b)

c)

d)

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

4.

Choose the equation of the function.

a)

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

b)

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

c)

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

d)

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

5.

What is the domain?

a)

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

b)

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

c)

all real numbers except multiples of $\pi$

d)

all real numbers

6.

What is the range?

a)

all real numbers

b)

c)

d)

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

7.

What are the zeros of the function?

a)

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

b)

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

c)

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

d)

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

8.

What are the zeros of the function?

a)

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

b)

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

c)

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

d)

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

9.

Choose the equation of the function.

a)

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

b)

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

c)

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

d)

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

10.

What is the range?

a)

all real numbers

b)

c)

d)

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

11.

What is the domain?

a)

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

b)

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

c)

all real numbers except multiples of $\pi$

d)

all real numbers

12.

Choose the equation of the function.

a)

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

b)

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

c)

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

d)

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

13.

What is the range?

a)

all real numbers

b)

c)

d)

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

14.

What is the domain?

a)

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

b)

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

c)

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

d)

all real numbers

15.

What is the equation of the function?

a)

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

b)

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

c)

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

d)

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

16.

What is the range?

$y=3\sec\left(\frac{x}{5}\right)$

a)

b)

c)

all real numbers

d)

17.

What is the period of the function?

$y=3\sec\left(\frac{x}{5}\right)$

a)

$\frac{1}{5}$

b)

$10\pi$

c)

$2\pi$

d)

$5\pi$

18.

What is the domain of the function?

$y=4\cot\left(3x\right)$

a)

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

b)

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

c)

all real numbers

d)

all real numbers except multiples of $\pi$

19.

What is the period of the function?

$y=4\cot\left(3x\right)$

a)

3

b)

$\frac{\pi}{3}$

c)

$4\pi$

d)

$\pi$

20.

What are the zeros of the function?

$y=4\cot\left(3x\right)$

a)

odd multiples of $\frac{\pi}{6}$

b)

odd multiples of $\frac{\pi}{3}$

c)

all multiples of $\frac{\pi}{6}$

d)

off multiples of $3\pi$

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

Total questions: 20

Worksheet time: 10mins

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