Free Printable TRIGONOMETRIC FUNCTIONS

1.

what is the amplitude of
y = 3sin (7x) -2

a)

7

b)

-2

c)

3

d)

6

2.

What is the vertical shift for

y = 4 cos(x +π) - 2?

(Define your transformations first (a,b,c,d), and then determine which one of your answer choices matches the transformation for this function )

a)

up 2

b)

left 2

c)

right 2

d)

down 2

3.

Which value represents a horizontal shift (left and right) in the following function y=a*sin(bx-c)+d?

a)

a

b)

b

c)

c

d)

d

4.

What is the period of
y= 4 cos (5x)

a)

2π/5

b)

π

c)

5

d)

5π

5.

What is the equation of the graph?

a)

y = 2 cos x

b)

y = cos 2x

c)

y = 2 sin x

d)

y = sin 2x

6.

What is the equation of the graph?

a)

y= 2 cos x

b)

y = sin 2x

c)

y= 2 sin x

d)

y= cos 2x

7.

What is the equation of the graph?

a)

$y=2\sin\ x$

b)

$y=\frac{1}{2}\sin\ x$

c)

$y=\ 2\sin\ 2x$

d)

$y=\ \sin\ \frac{1}{2}x$

8.

Find the period of $y=2\sin\ \left(\frac{1}{4}x-\frac{\pi}{2}\right)$

a)

π/2

b)

8π

c)

4π

d)

π

9.

Find the amplitude of $y=\ 4\cos\ \left(\frac{1}{4}x+\frac{\pi}{4}\right)$

a)

4

b)

1/4

c)

$\frac{\pi}{4}$

d)

$-\frac{\pi}{4}$

10.

The period of a sine or cosine graph can be found by ....

a)

It's always 2π

b)

2π/B

c)

B(2π)

d)

2π+B

11.

Write an equation of a sine function with a period of π and amplitude of 7.

a)

y=7 sin2πx

b)

y=7 sinπx

c)

y=2 sin7x

d)

y=7 sin2x

12.

Write the equation for a sine function with an amplitude of 6 and a period of π/4.

a)

y=6 sin(8x)

b)

y=6 sin 8(x-1)

c)

y=6 sin 1/4x

d)

y=6 sin x

13.

What is the period?

a)

4π

b)

2π

c)

π

d)

8π

14.

Convert π radians to degrees.

a)

90⁰

b)

180⁰

c)

360⁰

d)

60⁰

15.

$y=\ 3\ \sin\left(4x\right)\ +1$

find the graph of the function

a)

b)

c)

16.

$y=\ \frac{1}{2}\sin\ x\ -1$

a)

b)

c)

d)

17.

Find the graph $y=2\cos\ x\ -2$

a)

b)

c)

d)

TRIGONOMETRIC FUNCTIONS

Total questions: 17

Worksheet time: 51mins

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