Practice Test

Question 1

A student uses the equation tangent theta is equal to the fraction with numerator s squared and denominator 49 to represent the speed, s , in feet per second, of a toy car driving around a circular track having an angle of incline theta , where sine theta is equal to 1 half To solve the problem, the student used the given value of sine theta to find the value of tangent theta and then substituted the value of tangent theta in the equation above to solve for s What is the approximate value of s , the speed of the car in feet per second?

Revolt · Accepted Answer

C: 5 point 3

Question 2

Which of the following are in correct order from greatest to least?

Revolt · Accepted Answer

B: 330 degrees ,  5 pi over 3 ,  7 pi over 6 ,  2 pi over 3 ,  pi over 2

Question 3

How long is the arc intersected by a central angle of pi over 3 radians in a circle with a radius of 6 ft? Round your answer to the nearest tenth. Use 3 point 1 4 for pi

Revolt · Accepted Answer

B: 6 point 3  ft

Question 4

Which of the following is true for f of x is equal to negative 2 sine x minus 3 ?

Revolt · Accepted Answer

B: The amplitude of the function is  2 .; C: The graph of the function is the graph of  f of x is equal to negative 2 sine x  shifted  3  units up.

Question 5

The depth of the water at the end of a pier changes periodically along with the movement of tides. On a particular day, low tides occur at 12:00 a.m. and 3:30 p.m., with a depth of 3 point 2 5 meters, while high tides occur at 7:45 a.m. and 11:15 p.m., with a depth of 8 point 7 5 meters. Which of the following equations models d , the depth of the water in meters, as a function of time, t , in hours? Let t is equal to 0 be 12:00 a.m.

Revolt · Accepted Answer

D: d is equal to negative 2 point 7 5 cosine open paren 4 pi over 31 t close paren plus 6

Question 6

Which values for theta have the same reference angles?

Revolt · Accepted Answer

A: pi over 4 ,  3 pi over 4 ,  7 pi over 4

Question 7

Which formula gives the zeros of y is equal to sine of x ?

Revolt · Accepted Answer

C: k pi  for any integer  k

Question 8

On a unit circle, the vertical distance from the x -axis to a point on the perimeter of the circle is twice the horizontal distance from the y -axis to the same point. What is sine theta ?

Revolt · Accepted Answer

D: the fraction with numerator 2 square root of 5 and denominator 5

Question 9

The average daily temperature, t , in degrees Fahrenheit for a city as a function of the month of the year, m , can be modeled by the equation graphed, where m is equal to 0 represents January 1 , m is equal to 1 represents February 1, m is equal to 2 represents March 1 , and so on. If the equation is t is equal to A cosine open paren pi over 6 times open paren m plus 1 close paren close paren plus k , what are the values of A and k ?

Revolt · Accepted Answer

D: A is equal to negative 20 ;  k is equal to 60

Question 10

If a vertical line is dropped from the x -axis to the point open paren 12 comma negative 9 close paren in the diagram, what is the value of secant theta ?

Revolt · Accepted Answer

C: 5 fourths

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