Practice Test

Question 1

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

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

Question 2

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

5 fourths

Question 3

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

Revolt · Accepted Answer

The amplitude of the function is 2 .

Question 4

Which values for theta have the same reference angles?

Revolt · Accepted Answer

pi over 4 , 3 pi over 4 , 7 pi over 4

Question 5

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

Revolt · Accepted Answer

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

Question 6

Which of the following is the graph of y is equal to sine of open paren 4 times open paren x minus pi close paren close paren ?

Revolt · Accepted Answer

Image with description A coordinate plane. The graph starts and rises to (0 comma 1). It falls through (pi over 8 comma negative 1) to (pi over 4 comma negative 3). It then rises through (3 pi over 8 comma negative 1) to (pi over 2 comma 1). It then falls through (5 pi over 8 comma negative 1) to (3 pi over 4 comma negative 3). It then rises through (7 pi over 8 comma negative 1) to (pi comma 1). It then falls through (9 pi over 8 comma negative 1) to (5 pi over 4 comma negative 3). It then rises through (11 pi over 8 comma negative 1) to (3 pi over 2 comma 1). It then falls through (13 pi over 8 comma negative 1) to (7 pi over 4 comma negative 3). It then rises through (15 pi over 8 comma negative 1) to (2 pi comma 1).; Image with description A coordinate plane. The graph starts and falls to (negative pi comma negative 3). It rises through (negative 3 pi over 4 comma negative 1) to (negative pi over 2 comma 1). It then falls through (negative pi over 4 comma negative 1) to (0 comma negative 3). It then rises through (pi over 4 comma negative 1) to (pi over 2 comma 1). It then falls through (3 pi over 4 comma negative 1) to (pi comma negative 3).

Question 7

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

Question 8

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

Revolt · Accepted Answer

k pi for any integer k

Question 9

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

5 point 3

Question 10

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

6 point 3 ft

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