3rd topic test answers – Flashcards

Angle T has a measure between 0 and 360 and is coterminal with a -710° angle. What is the measure of angle T?

An angle whose measure is -102° is in standard position. In which quadrant does the terminal side of the angle fall?

Which angle has a positive measure?

An angle measuring (468n)° is in standard position. For which value of n will the terminal side fall along the negative portion of the x-axis?

Which expression finds the measure of an angle that is coterminal with a 45° angle?

What are two possible measures of the angle below? mc010-1.jpg

A circle has a radius of 5 ft, and an arc of length 7 ft is made by the intersection of the circle with a central angle. Which equation gives the measure of the central angle, q?

What is the approximate length of arc s on the circle below? Use 3.14 for mc024-1.jpg. Round your answer to the nearest tenth. mc024-2.jpg

Which equation gives the length of an arc, s, intersected by a central angle of 3 radians in a circle with a radius of 4 in.?

A circle has a central angle of 6 radians that intersects an arc of length 14 in. Which equation finds the length of the radius, r, of the circle?

Which expression converts mc001-1.jpg radians to degrees?

A circle has a central angle measuring mc022-1.jpg radians that intersects an arc of length 18 cm. What is the length of the radius of the circle? Round your answer to the nearest tenth. Use 3.14 for mc022-2.jpg.

What is 270° converted to radians?

What is mc004-1.jpg radians converted to degrees? If necessary, round your answer to the nearest degree.

Which expression converts 45° to radians?

What is mc005-1.jpg radians converted to degrees? If necessary, round your answer to the nearest degree.

In a right triangle, mc013-1.jpg and mc013-2.jpg. What is the approximate value of mc013-3.jpg?

In the right triangle below, tanA = 0.45. What is the approximate length of AB? mc011-1.jpg

In the triangle below, which is equivalent to sinA? mc002-1.jpg

What is the approximate degree measure of angle B in the triangle below? mc010-1.jpg

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?

What is the measure of angle B in the figure below? mc015-1.jpg

Which equation can be used to find B in the triangle below? mc006-1.jpg

The height of the equilateral triangle below is 15 units. What is the value of x? mc019-1.jpg

One leg of a right triangle measures 6 inches. The remaining leg measures mc016-1.jpg inches. What is the measure of the angle opposite the leg that is 6 inches long?

What is the approximate degree measure of angle A in the triangle below? mc007-1.jpg

For which value of mc001-1.jpg is mc001-2.jpg? mc001-3.jpg

Which values for mc017-1.jpg have the same reference angles?

Which of the following is true of the values of x and y in the diagram below? mc010-1.jpg

The terminal side of an angle measuring mc006-1.jpg radians intersects the unit circle at what point?

The radius of the circle below intersects the unit circle at mc009-1.jpg. What is the approximate value of mc009-2.jpg?

What is the reference angle for a 240° angle?

Which of the following best explains why mc020-1.jpg?

What is the value of mc004-1.jpg in the unit circle below? mc004-2.jpg

The angle measures associated with which set of ordered pairs share the same reference angle?

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 sinmc013-1.jpg? mc013-2.jpg

What are the values of m and mc012-1.jpg in the diagram below? mc012-2.jpg

Which of the following is true of the location of an angle, mc025-1.jpg, whose tangent value is mc025-2.jpg?

What is the value of mc002-1.jpg in the diagram below? mc002-2.jpg

In the diagram below, mc005-1.jpg = mc005-2.jpg. What is the value of m? mc005-3.jpg

The radius of the circle below intersects the unit circle at mc009-1.jpg. What is the approximate value of mc009-2.jpg?

Which expression can be used to determine the reference angle for an angle, x, measuring 150°?

Which of the following explains why cos60 = sin30 using the unit circle?

An angle that shares the same sine value of an angle that measures mc022-1.jpg radians is located where?

Which of the following best explains why mc021-1.jpg?

For which value of mc001-1.jpg is mc001-2.jpg? mc001-3.jpg

What is the exact value of mc024-1.jpg?

When csc(mc012-1.jpg)sin(mc012-2.jpg) is simplified, what is the result?

If tan mc002-1.jpg = mc002-2.jpg, what is the value of cot mc002-3.jpg?

For which value of mc019-1.jpg is cot (mc019-2.jpg) undefined?

Which of the following is a simpler way to write mc011-1.jpg?

Which function is undefined when mc018-1.jpg radians?

What is the value of sec mc001-1.jpg in the triangle below? mc001-2.jpg

In mc009-1.jpg, mc009-2.jpg, mc009-3.jpg, mc009-4.jpg and mc009-5.jpg. Which ratios are correct?

Which of the following is a simpler form of the expression mc014-1.jpg?

Which results from multiplying the six trigonometric functions?

The point mc021-1.jpg is the point at which the terminal ray of angle mc021-2.jpg intersects the unit circle. What are the values for the cosine and cotangent functions for angle mc021-3.jpg?

Keisha and David each found the same value for mc011-1.jpg, as shown below, given mc011-2.jpg.

Which Pythagorean identity is correct?

Given that mc006-1.jpg, what is the value of mc006-2.jpg, for mc006-3.jpg?

Francesca drew point (-2, -10) on the terminal ray of angle mc024-1.jpg, which is in standard position. She found values for the six trigonometric functions using the steps below.

Given that mc010-1.jpg, what is the value of mc010-2.jpg, for mc010-3.jpg?

Consider the relationship below, given mc012-1.jpg. mc012-2.jpg Which of the following best explains how this relationship and the value of sin mc012-3.jpg can be used to find the other trigonometric values?

Given that mc005-1.jpg, what is the value of mc005-2.jpg?

The point P(x, y) lies on the terminal side of an angle mc015-1.jpg = mc015-2.jpg in standard position. What are the signs of the values of x and y?

If mc008-1.jpg, which of the following represents approximate values of mc008-2.jpg and mc008-3.jpg, for mc008-4.jpg?

An angle in standard position measures mc016-1.jpg radians, and P(0, 1) is on the terminal side of the angle. What is the value of the cosine of this angle?

If mc003-1.jpg, which expression is equivalent to mc003-2.jpg?

The point P(x, y) lies on the terminal side of an angle mc014-1.jpg = -60° in standard position. What are the signs of the values of x and y?

The point mc021-1.jpg is the point at which the terminal ray of angle mc021-2.jpg intersects the unit circle. What are the values for the cosine and cotangent functions for angle mc021-3.jpg?

Which of the following is the graph of y = sin(0.5x)?

Which transformations are needed to change the parent cosine function to the cosine function below? mc021-1.jpg

Which term gives the horizontal length of one cycle of a periodic function?

Which transformations are needed to change the parent cosine function to mc018-1.jpg?

Which of the following could be the equation of the function below? mc023-1.jpg

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

Which of the following is the graph of mc013-1.jpg?

Which of the following is the graph of mc014-1.jpg?

Which transformations are needed to change the parent sine function to mc019-1.jpg?

What is the general equation of a sine function with an amplitude of 2, a period of p, and a horizontal shift of p units?

Which transformations are needed to change the parent sine function to the sine function below? mc022-1.jpg

What is the equation of the graph below? mc011-1.jpg

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

What is the phase shift of a periodic function?

Which of the following could be the equation of the function below? mc024-1.jpg

Which of the following is the graph of mc014-1.jpg?

What is the equation of the graph below? mc011-1.jpg

Which transformations are needed to change the parent cosine function to the cosine function below? mc021-1.jpg

Which term gives the horizontal length of one cycle of a periodic function?

Which transformations are needed to change the parent sine function to the sine function below? mc022-1.jpg

Which of the following could be the equation of the function below? mc023-1.jpg

Which of the following could be the equation of the function below? mc025-1.jpg

What is the phase shift of a periodic function?

Which of the following is the graph of mc013-1.jpg?

The height, h, in feet of a flag on one blade of a windmill as a function of time, t, in seconds can be modeled by the equation mc009-1.jpg. What is the minimum height of the flag?

The displacement, d, in millimeters of a tuning fork as a function of time, t, in seconds can be modeled with the equation mc001-1.jpg. What is the maximum displacement of the tuning fork?

The equation mc021-1.jpg can be used to model the height, h, in feet of the end of one blade of a windmill turning on an axis above the ground as a function of time, t, in seconds. How long is the blade? Assume that the blade is pointing to the right, parallel to the ground, at t = 0, and that the windmill turns counterclockwise at a constant rate.

Which of the following situations can be modeled with a periodic function?

The height, h, in feet of a piece of cloth tied to a waterwheel in relation to sea level as a function of time, t, in seconds can be modeled by the equation mc004-1.jpg. How long does it take for the waterwheel to complete one turn?

The distance, d, in inches of a weight attached to a spring from its equilibrium as a function of time, t, in seconds can be modeled by the graph below. Which equation is represented in the graph below? mc007-1.jpg

The displacement, d, in millimeters of a tuning fork as a function of time, t, in seconds can be modeled with the equation mc005-1.jpg. What is the frequency of the tuning fork?

Suppose that you want to model the height of a rider on a Ferris wheel as a function of time. The amplitude of the function you use as a model should be equal to which of the following?

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 mc008-1.jpg and that the windmill turns counterclockwise at a constant rate.

The height, h, in feet of a ball suspended from a spring as a function of time, t, in seconds can be modeled by the equation mc025-1.jpg. Which of the following is the graph of this equation?

A weight attached to a spring is at its lowest point, 9 inches below equilibrium, at time t = 0 seconds. When the weight it released, it oscillates and returns to its original position at t = 3 seconds. Which of the following equations models the distance, d, of the weight from its equilibrium after t seconds?

The depth of the water, d, at the end of a pier changes periodically as a function of time, t, in hours as shown in the graph below. According to the model, the last low tide occurred at 5:00 a.m. When will the next low tide occur? Let t = 0 be 12:00 a.m. mc019-1.jpg

Starting at its rightmost position, it takes 2 seconds for the pendulum of a grandfather clock to swing a horizontal distance of 18 inches from right to left and 2 seconds for the pendulum to swing back from left to right. Which of the following equations models d, the horizontal distance in inches of the pendulum from the center as a function of time, t, in seconds? Assume that right of center is a positive distance and left of center is a negative distance.

The height, h, in feet of a piece of cloth tied to a waterwheel in relation to sea level as a function of time, t, in seconds can be modeled by the equation mc018-1.jpg. What is the period of the function?

The height, h, in feet of a ball suspended from a spring as a function of time, t, in seconds can be modeled by the equation mc015-1.jpg. What is the height of the ball at its equilibrium?

A buoy starts at a height of 0 in relation to sea level and then goes up. Its maximum displacement in either direction is 6 feet, and the time it takes to go from its highest point to its lowest point is 4 seconds. Which of the following equations can be used to model h, the height in feet of the buoy in relation to sea level as a function of time, t, in seconds?

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 mc026-1.jpg, where m = 0 represents January 1, m = 1 represents February 1, m = 2 represents March 1, and so on. Which equation also models this situation?

The blades of a windmill turn on an axis that is 35 feet above the ground. The blades are 10 feet long and complete two rotations every minute. Which of the following equations can be used to model h, the height in feet of the end of one blade, as a function of time, t, in seconds? Assume that the blade is pointing to the right, parallel to the ground at t = 0 seconds, and that the windmill turns counterclockwise at a constant rate.

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 mc008-1.jpg and that the windmill turns counterclockwise at a constant rate.

The height, h, in feet of a ball suspended from a spring as a function of time, t, in seconds can be modeled by the equation mc011-1.jpg. Which of the following equations can also model this situation?

The height, h, in feet of a flag on one blade of a windmill as a function of time, t, in seconds can be modeled by the equation mc009-1.jpg. What is the minimum height of the flag?

The displacement, d, in millimeters of a tuning fork as a function of time, t, in seconds can be modeled with the equation mc001-1.jpg. What is the maximum displacement of the tuning fork?

The height, h, in feet of a piece of cloth tied to a waterwheel in relation to sea level as a function of time, t, in seconds can be modeled by the equation mc018-1.jpg. What is the period of the function?