Free Printable Unit 4 "Other Trig Functions" Quiz Review

1.

Determine an equation for this graph:

a)

y=sec(x)

b)

y=2sec(x)

c)

y=2csc(x)

d)

y= csc(2x)

2.

Which trig function does this graph represent?

a)

sin

b)

sec

c)

tan

d)

cot

3.

Determine an equation for this graph:

a)

y=csc(x)

b)

y=sec(x)

c)

y=cot(x)

d)

y= tan(x)

4.

Write an equation for the graph.

a)

y = 2sec(x)

b)

y = -2sec(x)

c)

y = 2csc(x)

d)

y = -2csc(x)

5.

What is the period of this function?

a)

\frac{\pi}{4}

b)

$\frac{\pi}{2}$

c)

$\pi$

d)

$2\pi$

6.

A trig function has an amplitude of 4 and a minimum value of 5. What is its maximum value?

a)

7

b)

9

c)

11

d)

13

7.

What trigonometric functions have vertical asymptotes? Select all that apply.

a)

sine

b)

cosine

c)

tangent

d)

secant

e)

cosecant

8.

What is the equation of graph?

a)

y = sin 5x

b)

y = cos 5x

c)

y = 5 sin x

d)

y = 5 cos x

9.

Which of the following is the correct cosine equation for the given graph?

a)

y = - 6 cos x - 1

b)

y = 3 cos x - 4

c)

y = -7 cos x

d)

y = -3 cos x - 4

10.

Which of the following parent functions do NOT have a period of $2\pi$ ?

a)

y = sin x

b)

y = tan x

c)

y = csc x

11.

Select all that apply: Which parent functions have a period of

2\pi

?

a)

y=sinx

b)

y=cosx

c)

y=tanx

d)

y=cotx

e)

y=secx

12.

Secant is the reciprocal of what function?

a)

Cosecant

b)

Sine

c)

Cosine

d)

Tangent

13.

Which parent function is graphed?

a)

y=tanx

b)

y=cotx

c)

y=sinx

d)

$y=\tan^{-1}x$

e)

y=cosx

14.

Select all that apply to

y=\tan\theta

a)

"increases" the entire domain

b)

"decreases" the entire domain

c)

x-intercept at the origin

d)

asymptote at x = 0

15.

What is the vertical stretch of $y=6\tan(7x)-2$ ?

a)

7

b)

-2

c)

3

d)

6

16.

What is the period of $y=6\tan(7x)-2$ ?

a)

7

b)

$\frac{\pi}{7}$

c)

$\frac{2\pi}{7}$

d)

$\frac{\pi}{6}$

17.

Where is the midline for $y=4\cot(\ \frac{1}{3}\ x+\frac{\pi}{6})+2$ ?

a)

1/3

b)

-2

c)

+2

d)

4

18.

What is the period length of $y=\tan x$ ?

a)

π

b)

2π

c)

-2π

d)

π+1

19.

What is the value of D if the function above is in the form $f(x)=A\tan\left(Bx+C\right)+D$ ?

a)

-2

b)

-1

c)

0

d)

1

e)

2

20.

What does a negative A value cause?

a)

A negative amplitude

b)

A reflection across the Y axis

c)

No effect

d)

A reflection across X axis

21.

Which of the following functions does NOT have a period of 2π?

a)

y = sin x

b)

y = tan x

c)

y = csc x

d)

y = sec x

e)

y = cos x

22.

Where would the asymptotes shift to given: $y=-3\cot\left(2x-\pi\right)+4$

a)

$0\ \&\ \pi$

b)

$-\frac{\pi}{2}\ \&\ \frac{\pi}{2}$

c)

$\pi\ \&\ 3\pi$

d)

$\frac{\pi}{4}\ \&\ \frac{3\pi}{4}$

e)

$\frac{\pi}{2}\ \&\ \pi$

23.

What is the vertical stretch of the cotangent function that is pictured?

(a)

24.

Where would the asymptotes shift to given: $y=2\tan\left(\frac{x}{4}\right)$

a)

$0\ \&\ \pi$

b)

$-\pi\ \&\ \pi\$

c)

$0\ \&\ 4\pi$

d)

$-2\pi\ \&\ 2\pi$

e)

$-\frac{\pi}{2}\ \&\ \frac{\pi}{2}$

25.

What is the vertical stretch of the equation: $y=-3\cot\left(x-\pi\right)+1$

a)

2π

b)

3

c)

π

d)

1

Unit 4 "Other Trig Functions" Quiz Review

Total questions: 25

Worksheet time: 36mins

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