Trigonometric Functions - CCSS Math

High School Algebra Practice


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

QuestionCommon Core Standard #
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:

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:

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?

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?

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)) =

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

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