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Trigonometric Functions Quiz

Total questions: 15

Worksheet time: 8mins

Name
Class
Date
1.

Graph the sine function for the angle 0 to 360 degrees.

a)

Graph the cosine function instead of the sine function.

b)

Connect the points (0, 0), (90, 1), (180, 0), (270, 1), and (360, 0) with straight lines for the sine function graph.

c)

Graph the sine function by plotting the points (0, 0), (90, 1), (180, 0), (270, -1), and (360, 0) and connecting them with a smooth curve.

d)

Plot the points (0, 1), (90, 0), (180, -1), (270, 0), and (360, 1) for the sine function.

2.

Graph the cosine function for the angle 0 to 360 degrees.

a)

Plot the points (0, 0), (90, 1), (180, 0), (270, -1), and (360, 0) to graph the cosine function.

b)

Graph the cosine function by plotting the points (0, 1), (90, 0), (180, -1), (270, 0), and (360, 1) and connecting them with a smooth curve.

c)

Use a bar graph to represent the cosine function for angles 0 to 360 degrees.

d)

Connect the points (0, 1), (90, 0), (180, -1), (270, 0), and (360, 1) with straight lines to graph the cosine function.

3.

Identify the amplitude of the sine function.

a)

Distance from peak to trough

b)

Height of the wave

c)

Angle between two peaks

d)

Distance from midline to peak (or trough)

4.

Identify the amplitude of the cosine function.

a)

Product of the coefficients of the cosine term

b)

Square root of the coefficient of the cosine term

c)

Sum of the coefficients of the cosine term

d)

Absolute value of the coefficient of the cosine term

5.

Determine the period of the sine function.

a)

3π / b

b)

4π / b

c)

π / b

d)

2π / b

6.

Determine the period of the cosine function.

a)

T = 2π / c

b)

T = π / b

c)

T = 2π / b

d)

T = 2π / a

7.

Find the phase shift of the sine function.

a)

The phase shift of the sine function is c

b)

The phase shift of the sine function is d

c)

The phase shift of the sine function is b

d)

The phase shift of the sine function is a

8.

Find the phase shift of the cosine function.

a)

Square root of the period

b)

Opposite of the horizontal shift value

c)

Reciprocal of the amplitude

d)

Vertical shift value

9.

Calculate the value of sin(30 degrees).

a)

-0.5

b)

1.0

c)

0.25

d)

0.5

10.

Calculate the value of cos(45 degrees).

a)

sqrt(2)/2

b)

1/2

c)

1

d)

0.5

11.

Solve for x: sin(x) = 0.5.

a)

x = π/2 or x = 90 degrees

b)

x = π/3 or x = 60 degrees

c)

x = π/4 or x = 45 degrees

d)

x = π/6 or x = 30 degrees

12.

Solve for x: cos(x) = -0.8.

a)

x = π/6 or x = 5π/6

b)

x = π/3 or x = 5π/3

c)

x = 2π/3 or x = 4π/3

d)

x = 3π/4 or x = 5π/4

13.

Graph y = 2sin(x) + 1.

a)

The graph of y = 2sin(x) + 1 has a vertical shift of -2.

b)

The graph of y = 2sin(x) + 1 has an amplitude of 1.

c)

The graph of y = 2sin(x) + 1 is a sinusoidal function with an amplitude of 2, a vertical shift of 1 unit up, and no horizontal shift. It oscillates between y = -1 and y = 3.

d)

The graph of y = 2sin(x) + 1 is a linear function.

14.

Graph y = -3cos(x) - 2.

a)

y = -3cos(x) - 2

b)

y = -3cos(x) + 2

c)

y = 3cos(x) - 2

d)

y = -3sin(x) - 2

15.

Determine the vertical shift of the sine function.

a)

Vertical shift of the sine function is determined by the value added or subtracted outside the function.

b)

Vertical shift of the sine function is determined by the phase shift

c)

Vertical shift of the sine function is determined by the period

d)

Vertical shift of the sine function is determined by the amplitude