Trigonometric Functions - CCSS Math

High School Algebra Practice

This quiz illustrates the range of difficulty expected by the following Common Core State (CCS) standards:

Question	Common Core Standard #
1	F.TF.1
2	F.TF.1
3	F.TF.1
4	F.TF.1
5	F.TF.5
6	F.TF.5
7	F.TF.5
8	F.TF.5
9	F.TF.8
10	F.TF.8

indicates a modeling standard.

All questions of this quiz illustrate the difficulty of the high school F.TF standards required for all students, including the college and career ready students.

Question 1: Circle C has a radius of 10 cm. The arc of circle C subtended by an angle of 2 radians has a length of:

0.2cm

2cm

10cm

20cm

Question 2: The front wheel of a bike rotates with a speed of 48 rad/s. In a 2ms time interval, the wheel rotates by about:

5.5^o

9^o

32.5^o

45^o

Question 3: The length of an arc of the unit circle is 1.5. What is the value of the angle that subtends this arc in degrees?

45.65^o

60^o

85.95^o

110.5^o

Question 4: radians converted in degrees is ^o.

Question 5: The typical voltage supplied by an electrical outlet in Europe is a sinusoidal function that oscillates between -282 volts and +282 volts with a frequency of 50 cycles per second. Which of the following is an equation that approximates the voltage as a function of time t?

v(t) = 282sin(314.15t)

v(t) = 282 + 282sin(314.15t)

v(t) = 282sin(3.14t)

v(t) = 282sin(314.15 + t)

The following 3 questions refer to the figure below:

The function in the graph above models the employment of country A employment.

Question 6: Half of the period of the country A employment function is years.

Question 7: The midline of the function is million of people employed.

Question 8: The amplitude of the sinusoidal function is million of people employed.

Question 9: sin(x)cos(x)(1 + tan²(x)) =

tan(x) + 1

sin(x)

sin(x) + cos(x)

tan(x)

Question 10: For any x such that 0 < x < π/2, the expression (1 - sin²x)/cos(x) + (1 - cos²x)/sin(x) is equivalent to:

1

sin(x) + cos(x)

sin(x)

cos(x)

Press the Submit button to see the results.