Answers CREDIT RE-SEAT MNPS Integrated Math III IC S2 25-26Unit Test

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The blades of a windmill turn on an axis that is 30 feet from the ground. The blades are 10 feet long and complete 2 rotations every minute. Write a sine model, y = asin(bt) + k, for the height (in feet) of the end of one blade as a function of time t (in seconds). Assume the blade is pointing to the right when and that the windmill turns counterclockwise at a constant rate.

y = 30 sine (StartFraction pi Over 15 EndFraction t) + 10

y = 30 sine (StartFraction pi Over 15 EndFraction t) + 30

y = 10 sine (StartFraction pi Over 15 EndFraction t) + 10

y = 10 sine (StartFraction pi Over 15 EndFraction t) + 30

Which of the following best explains the value of on the unit circle below?

The length opposite the angle is the vertical distance from the x-axis on the graph.

The length adjacent to the angle is the vertical distance from the x-axis on the graph.

The length opposite the angle is the horizontal distance from the y-axis on the graph.

The length adjacent to the angle is the horizontal distance from the y-axis on the graph.

Which of the following is the graph of y = cos(2x)?

mc008-1.jpg

mc008-2.jpg

mc008-3.jpg

mc008-4.jpg

What are the values of m and in the diagram below?

In a right triangle, angle A measures 20°. The side opposite angle A is 10 centimeters long. Approximately how long is the hypotenuse of the triangle?

3.4 centimeters

10.6 centimeters

27.5 centimeters

29.2 centimeters

If angle B measures 25°, what is the approximate perimeter of the triangle below?

10.3 units

11.8 units

22.1 units

25.2 units

Consider the relationship below, given .Which of the following best explains how this relationship and the value of sin can be used to find the other trigonometric values?

The values of sin and cos represent the legs of a right triangle with a hypotenuse of 1; therefore, solving for cos finds the unknown leg, and then all other trigonometric values can be found.

The values of sin and cos represent the angles of a right triangle; therefore, solving the relationship will find all three angles of the triangle, and then all trigonometric values can be found.

The values of sin and cos represent the angles of a right triangle; therefore, other pairs of trigonometric ratios will have the same sum, 1, which can then be used to find all other values.

The values of sin and cos represent the legs of a right triangle with a hypotenuse of –1, since is in Quadrant II; therefore, solving for cos finds the unknown leg, and then all other trigonometric values can be found.

What is the exact value of ?

–1

Negative StartRoot 2 EndRoot

StartRoot 2 EndRoot

Three trigonometric functions for a given angle are shown below.What are the coordinates of point (x, y) on the terminal ray of angle , assuming that the values above were not simplified?

(–5, 12)

(5, –12)

(–12, 5)

(12, –5)

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