question

An angle whose measure is 92Â° is in standard position. In which quadrant does the terminal side of the angle fall?

answer

Quadrant II

question

What are two possible measures of the angle below?
mc009-1.jpg

answer

-270Â° and 90Â°

question

An angle whose measure is 40Â° is in standard position. In which quadrant does the terminal side of the angle fall?

answer

Quadrant I

question

An angle measuring (525n)Â° is in standard position. For which value of n will the terminal side fall along the negative portion of the y-axis?

answer

Not n = 2

question

Angle x is coterminal with angle y. If the measure of angle x is greater than the measure of angle y, which statement is true regarding the values of x and y?

answer

mc024-3.jpg, for any positive integer n (c)

question

Which angle has a positive measure?

answer

Not mc001-1.jpg (A)

question

An angle measuring (870n)Â° is in standard position. For which value of n will the terminal side fall along the positive portion of the y-axis?

answer

n=3

question

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

answer

not 15

question

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

answer

Not 45Â° + 180Â°

question

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

answer

Quadrant III

question

Which angle has a positive measure?

answer

Not mc002-3.jpg (c)

question

Which measure is of an angle that is coterminal with a 425Â° angle?

answer

Not 425Â° + (960n)Â°, for any integer n
Not 425Â° - (840n)Â°, for any integer n

question

Which of the following could be the measure of the angle below?
mc008-1.jpg

answer

-180Â°

question

An angle whose measure is -302Â° is in standard position. In which quadrant does the terminal side of the angle fall?

answer

Quadrant I

question

What are two possible measures of the angle below?
mc009-1.jpg

answer

-270Â° and 90Â°

question

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

answer

45Â° + 360Â°

question

An angle whose measure is 92Â° is in standard position. In which quadrant does the terminal side of the angle fall?

answer

Quadrant II

question

Which of the following represents the measures of all angles coterminal with a 418Â° angle?

answer

58 + 360n, for any integer n

question

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

answer

Not n=4

question

Which expression finds the measure of an angle that is coterminal with a 126Â° angle?

answer

126Â° + (720n)Â°, for any integer n

question

Angle D has a measure between 0 and 360 and is coterminal with a -920Â° angle. What is the measure of angle D?

answer

160Â°

question

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

answer

(a) mc011-1.jpg, 60Â°, mc011-2.jpg, mc011-3.jpg, 255Â°

question

What is 4 radians converted to degrees? If necessary, round your answer to the nearest degree.

answer

229Â°

question

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.?

answer

s=4*3

question

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

answer

(c) 38Â°, mc012-7.jpg, 80Â°, mc012-8.jpg, mc012-9.jpg

question

Which expression converts 45Â° to radians?

answer

mc002-3.jpg (c)

question

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

answer

Not (a) mc001-2.jpg

question

What is 270Â° converted to radians?

answer

3pi/2

question

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

answer

Not (c) mc013-9.jpg, mc013-10.jpg, mc013-11.jpg, mc013-12.jpg, 330Â°

question

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

answer

6.3 in.

question

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

answer

60

question

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

answer

Quadrant IV

question

What is the reference angle for a 240Â° angle?

answer

60

question

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

answer

Not The side opposite a 30Â° angle is the same as the side adjacent to a 60Â° angle in a right triangle. On a unit circle, the x (sin) distance of a 30Â° angle is the same as the y (cos) distance of a 60Â° angle.
Not The ratios describe different sides of the same right triangle. On a unit circle, the x (sin) distance of a 30Â° angle is the same as the y (cos) distance of a 60Â° angle.

question

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

answer

Not The angles do not have the same reference angle or the same sign.
Not The angles do not have the same reference angle.

question

On the unit circle, where mc007-1.jpg, when is mc007-2.jpg undefined?

answer

(c) mc007-6.jpg and mc007-7.jpg

question

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

answer

Not y + x = 1

question

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

answer

(c) mc001-6.jpg

question

The radius of the circle below intersects the unit circle at mc009-1.jpg. What is the approximate value of mc009-2.jpg?
mc009-3.jpg
[Not drawn to scale]

answer

Not 36.9 degrees
Not 1.0 radians

question

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

answer

Not mc025-5.jpg has a 60-degree reference angle and is located in Quadrant II or IV
Not mc025-6.jpg has a 60-degree reference angle and is located in Quadrant II or III

question

Which expression is equivalent to mc018-1.jpg?

answer

Not (a) mc018-2.jpg

question

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

answer

Not (c) mc005-6.jpg
Not (a) mc005-4.jpg

question

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

answer

Not (b) mc006-3.jpg
Not (c) mc006-4.jpg

question

What is the value of mc003-1.jpg in the diagram below?
mc003-2.jpg

answer

Not 7/25

question

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

answer

Not The angles do not have the same reference angle or the same sign.

question

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

answer

Not (b) mc012-5.jpg, mc012-6.jpg

question

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

answer

Not 0.2

question

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

answer

Not 1/2
Not mc004-5.jpg (c)

question

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

answer

Not Tangent is positive in the second quadrant and negative in the fourth quadrant.

question

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

answer

Not (d) mc012-9.jpg, mc012-10.jpg

question

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

answer

(c) mc023-3.jpg

question

Which of the following is true of the location of the terminal side of an angle, mc024-1.jpg, whose sine value is mc024-2.jpg?

answer

mc024-3.jpg has a reference angle of 30Â° and is in Quadrant I or II

question

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

answer

Not mc013-3.jpg (a)

question

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

answer

Not mc017-2.jpg, mc017-3.jpg, mc017-4.jpg (a)

question

What is the simplest form of the expression below?
mc016-1.jpg

answer

Not csc mc016-4.jpg

question

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

answer

Not 270

question

If cot mc007-1.jpg = mc007-2.jpg, what is the value of csc mc007-3.jpg?

answer

(a) mc007-4.jpg

question

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

answer

cot mc011-5.jpg

question

What is the exact value of cos(-60Âº)?

answer

1/2

question

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

answer

sec mc014-2.jpg

question

Which results from multiplying the six trigonometric functions?

answer

Not -1

question

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

answer

tan mc018-5.jpg

question

What is the value of csc A in the triangle below?
mc004-1.jpg

answer

Not 9/16

question

Which equation finds the value of x in the triangle below?
mc006-1.jpg

answer

Not (b) mc006-3.jpg

question

What are the exact values of the six trigonometric functions for mc026-1.jpg radians?

answer

(c) mc026-4.jpg

question

Which solution finds the value of x in the triangle below?
mc005-1.jpg

answer

Not (b) mc005-3.jpg

question

Which of the following is cot(mc013-1.jpg) sec(mc013-2.jpg) in simplified form?

answer

Not tan mc013-4.jpg

question

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

answer

Not (b) mc024-3.jpg

question

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

answer

60/11

question

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?

answer

The values of sin mc012-4.jpg and cos mc012-5.jpg represent the legs of a right triangle with a hypotenuse of 1; therefore, solving for cos mc012-6.jpg finds the unknown leg, and then all other trigonometric values can be found.

question

Based on Pythagorean identities, which equation is true?

answer

Not (c) mc002-3.jpg

question

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

answer

Not (a) mc005-3.jpg

question

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

answer

20/29

question

Keisha and David each found the same value for mc011-1.jpg, as shown below, given mc011-2.jpg.
Keisha's Solution
David's Solution
mc011-3.jpg
mc011-4.jpg

answer

Not Keisha's procedure is correct.

question

The terminal side of an angle in standard position passes through P(15, -8). What is the value of mc018-1.jpg?

answer

Not (d) mc018-5.jpg

question

A student uses the equation mc013-1.jpg to represent the speed, s, in feet per second, of a toy car driving around a circular track having an angle of incline mc013-2.jpg, where mc013-3.jpg. To solve the problem, the student used the given value of mc013-4.jpg to find the value of mc013-5.jpg and then substituted the value of mc013-6.jpg in the equation above to solve for s. What is the approximate value of s, the speed of the car in feet per second?

answer

5.3

question

Which Pythagorean identity is correct?

answer

Not (d) mc001-4.jpg

question

The terminal side of an angle in standard position passes through P(-3, -4). What is the value of mc017-1.jpg?

answer

Not (b) mc017-3.jpg
not (c) mc017-4.jpg

question

A student uses the equation mc013-1.jpg to represent the speed, s, in feet per second, of a toy car driving around a circular track having an angle of incline mc013-2.jpg, where mc013-3.jpg. To solve the problem, the student used the given value of mc013-4.jpg to find the value of mc013-5.jpg and then substituted the value of mc013-6.jpg in the equation above to solve for s. What is the approximate value of s, the speed of the car in feet per second?

answer

5.3

question

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

answer

Not (c)
mc008-7.jpg

question

Three trigonometric functions for a given angle are shown below.
mc023-1.jpg
What are the coordinates of point (x, y) on the terminal ray of angle mc023-2.jpg, assuming that the values above were not simplified?

answer

Not (5,-12)

question

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?

answer

Not x is positive, and y is negative.

question

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?

answer

(a) mc021-4.jpg

question

The terminal side of an angle in standard position passes through P(15, -8). What is the value of mc018-1.jpg?

answer

Not (a) mc018-2.jpg

question

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

answer

sqrt 2

question

If mc008-1.jpg, which equation represents mc008-2.jpg?

answer

B mc008-4.jpg

question

Fatima wants to find the value of mc004-1.jpg, given mc004-2.jpg. Which identity would be best for Fatima to use?

answer

D mc004-6.jpg

question

Haruto simplified the value below.
mc025-1.jpg
Which statement explains whether Haruto is correct?

answer

Haruto is correct because the angle is coterminal with mc025-2.jpg and the reference angle is mc025-3.jpg.

question

Which of the following best explains the value of mc008-1.jpg on the unit circle below?
mc008-2.jpg

answer

mc008-3.jpg mc008-4.jpgmc008-5.jpg mc008-6.jpg mc008-7.jpg
The length opposite the angle is the vertical distance from the x-axis on the graph.

question

Henry is asked to find the exact value of mc026-1.jpg. His steps are shown below.
1. Subtract mc026-2.jpg from mc026-3.jpg as many times as possible:
mc026-4.jpg - mc026-5.jpg = mc026-6.jpg
2. Find the reference angle for mc026-7.jpg: mc026-8.jpg - mc026-9.jpg= mc026-10.jpg.
3. The cosine value for mc026-11.jpg is mc026-12.jpg.
4. The cosine value is positive because mc026-13.jpg is in the first quadrant.
Which of the following describes Henry's errors?

answer

The reference angle should be mc026-14.jpg, and the sign of the value should be negative.

question

Which equation can be used to determine the reference angle, r, if mc016-1.jpg?

answer

B mc016-3.jpg

question

What is the approximate length of arc s on the circle below? Use 3.14 for mc025-1.jpg. Round your answer to the nearest tenth.
mc025-2.jpg

answer

14.1

question

Which of the following represents the measures of all angles coterminal with a -220Â° angle?

answer

140 + 360n, for any integer n

question

A student is given that point P(a, b) lies on the terminal ray of angle mc026-1.jpg, which is between mc026-2.jpg radians and 2mc026-3.jpg radians. The student uses the steps below to find cos mc026-4.jpg.
Step 1 Find the quadrant in which P(a, b) lies:
P(a, b) is in Quadrant IV.
Step 2 Use the point and the Pythagorean theorem to determine the value of r:
mc026-5.jpg, but since r must be positive, mc026-6.jpg.
Step 3 Determine cos mc026-7.jpg.
mc026-8.jpg, where a and b are positive.
Which of the following explains whether the student is correct?

answer

A The student made an error in step 3 because a is positive in Quadrant IV; therefore, mc026-9.jpg.

question

Which expression converts 8 radians to degrees?

answer

D mc003-4.jpg

question

If mc003-1.jpg , what is the approximate value of csc mc003-2.jpg?

answer

3.2362

question

What is 720Â° converted to radians?

answer

4 pi

question

Angle B has a measure between 0 and 360 and is coterminal with a -865Â° angle. What is the measure of angle B?

answer

215

question

What is the value of mc019-1.jpg given the diagram below?
mc019-2.jpg

answer

A mc019-3.jpg

question

Which angle is in standard position?

answer

C mc003-3.jpg