# Math

## Unlock all answers in this set

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An angle whose measure is 92Â° is in standard position. In which quadrant does the terminal side of the angle fall?
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What are two possible measures of the angle below? mc009-1.jpg
-270Â° and 90Â°
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An angle whose measure is 40Â° is in standard position. In which quadrant does the terminal side of the angle fall?
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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?
Not n = 2
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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?
mc024-3.jpg, for any positive integer n (c)
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Which angle has a positive measure?
Not mc001-1.jpg (A)
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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?
n=3
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Angle T has a measure between 0 and 360 and is coterminal with a -710Â° angle. What is the measure of angle T?
not 15
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Which expression finds the measure of an angle that is coterminal with a 45Â° angle?
Not 45Â° + 180Â°
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An angle whose measure is -102Â° is in standard position. In which quadrant does the terminal side of the angle fall?
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Which angle has a positive measure?
Not mc002-3.jpg (c)
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Which measure is of an angle that is coterminal with a 425Â° angle?
Not 425Â° + (960n)Â°, for any integer n Not 425Â° - (840n)Â°, for any integer n
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Which of the following could be the measure of the angle below? mc008-1.jpg
-180Â°
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An angle whose measure is -302Â° is in standard position. In which quadrant does the terminal side of the angle fall?
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What are two possible measures of the angle below? mc009-1.jpg
-270Â° and 90Â°
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Which expression finds the measure of an angle that is coterminal with a 45Â° angle?
45Â° + 360Â°
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An angle whose measure is 92Â° is in standard position. In which quadrant does the terminal side of the angle fall?
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Which of the following represents the measures of all angles coterminal with a 418Â° angle?
58 + 360n, for any integer n
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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?
Not n=4
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Which expression finds the measure of an angle that is coterminal with a 126Â° angle?
126Â° + (720n)Â°, for any integer n
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Angle D has a measure between 0 and 360 and is coterminal with a -920Â° angle. What is the measure of angle D?
160Â°
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Which of the following are in the correct order from least to greatest?
(a) mc011-1.jpg, 60Â°, mc011-2.jpg, mc011-3.jpg, 255Â°
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229Â°
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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.?
s=4*3
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Which of the following are in the correct order from least to greatest?
(c) 38Â°, mc012-7.jpg, 80Â°, mc012-8.jpg, mc012-9.jpg
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Which expression converts 45Â° to radians?
mc002-3.jpg (c)
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Which expression converts mc001-1.jpg radians to degrees?
Not (a) mc001-2.jpg
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What is 270Â° converted to radians?
3pi/2
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Which of the following are in correct order from greatest to least?
Not (c) mc013-9.jpg, mc013-10.jpg, mc013-11.jpg, mc013-12.jpg, 330Â°
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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
6.3 in.
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60
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An angle that shares the same sine value of an angle that measures mc022-1.jpg radians is located where?
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What is the reference angle for a 240Â° angle?
60
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Which of the following explains why cos60 = sin30 using the unit circle?
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.
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Which of the following best explains why mc020-1.jpg?
Not The angles do not have the same reference angle or the same sign. Not The angles do not have the same reference angle.
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On the unit circle, where mc007-1.jpg, when is mc007-2.jpg undefined?
(c) mc007-6.jpg and mc007-7.jpg
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Which of the following is true of the values of x and y in the diagram below? mc010-1.jpg
Not y + x = 1
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For which value of mc001-1.jpg is mc001-2.jpg? mc001-3.jpg
(c) mc001-6.jpg
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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]
Not 36.9 degrees Not 1.0 radians
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Which of the following is true of the location of an angle, mc025-1.jpg, whose tangent value is mc025-2.jpg?
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
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Which expression is equivalent to mc018-1.jpg?
Not (a) mc018-2.jpg
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In the diagram below, mc005-1.jpg = mc005-2.jpg. What is the value of m? mc005-3.jpg
Not (c) mc005-6.jpg Not (a) mc005-4.jpg
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The terminal side of an angle measuring mc006-1.jpg radians intersects the unit circle at what point?
Not (b) mc006-3.jpg Not (c) mc006-4.jpg
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What is the value of mc003-1.jpg in the diagram below? mc003-2.jpg
Not 7/25
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Which of the following best explains why mc021-1.jpg?
Not The angles do not have the same reference angle or the same sign.
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What are the values of m and mc012-1.jpg in the diagram below? mc012-2.jpg
Not (b) mc012-5.jpg, mc012-6.jpg
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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
Not 0.2
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What is the value of mc004-1.jpg in the unit circle below? mc004-2.jpg
Not 1/2 Not mc004-5.jpg (c)
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Which of the following best explains why mc021-1.jpg?
Not Tangent is positive in the second quadrant and negative in the fourth quadrant.
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What are the values of m and mc012-1.jpg in the diagram below? mc012-2.jpg
Not (d) mc012-9.jpg, mc012-10.jpg
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The angle measures associated with which set of ordered pairs share the same reference angle?
(c) mc023-3.jpg
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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?
mc024-3.jpg has a reference angle of 30Â° and is in Quadrant I or II
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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
Not mc013-3.jpg (a)
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Which values for mc017-1.jpg have the same reference angles?
Not mc017-2.jpg, mc017-3.jpg, mc017-4.jpg (a)
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What is the simplest form of the expression below? mc016-1.jpg
Not csc mc016-4.jpg
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For which value of mc019-1.jpg is cot (mc019-2.jpg) undefined?
Not 270
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If cot mc007-1.jpg = mc007-2.jpg, what is the value of csc mc007-3.jpg?
(a) mc007-4.jpg
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Which of the following is a simpler way to write mc011-1.jpg?
cot mc011-5.jpg
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What is the exact value of cos(-60Âº)?
1/2
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Which of the following is a simpler form of the expression mc014-1.jpg?
sec mc014-2.jpg
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Which results from multiplying the six trigonometric functions?
Not -1
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Which function is undefined when mc018-1.jpg radians?
tan mc018-5.jpg
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What is the value of csc A in the triangle below? mc004-1.jpg
Not 9/16
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Which equation finds the value of x in the triangle below? mc006-1.jpg
Not (b) mc006-3.jpg
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What are the exact values of the six trigonometric functions for mc026-1.jpg radians?
(c) mc026-4.jpg
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Which solution finds the value of x in the triangle below? mc005-1.jpg
Not (b) mc005-3.jpg
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Which of the following is cot(mc013-1.jpg) sec(mc013-2.jpg) in simplified form?
Not tan mc013-4.jpg
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What is the exact value of mc024-1.jpg?
Not (b) mc024-3.jpg
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If tan mc002-1.jpg = mc002-2.jpg, what is the value of cot mc002-3.jpg?
60/11
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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?
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.
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Based on Pythagorean identities, which equation is true?
Not (c) mc002-3.jpg
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Given that mc005-1.jpg, what is the value of mc005-2.jpg?
Not (a) mc005-3.jpg
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Given that mc006-1.jpg, what is the value of mc006-2.jpg, for mc006-3.jpg?
20/29
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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
Not Keisha's procedure is correct.
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The terminal side of an angle in standard position passes through P(15, -8). What is the value of mc018-1.jpg?
Not (d) mc018-5.jpg
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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?
5.3
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Which Pythagorean identity is correct?
Not (d) mc001-4.jpg
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The terminal side of an angle in standard position passes through P(-3, -4). What is the value of mc017-1.jpg?
Not (b) mc017-3.jpg not (c) mc017-4.jpg
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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?
5.3
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If mc008-1.jpg, which of the following represents approximate values of mc008-2.jpg and mc008-3.jpg, for mc008-4.jpg?
Not (c) mc008-7.jpg
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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?
Not (5,-12)
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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?
Not x is positive, and y is negative.
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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?
(a) mc021-4.jpg
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The terminal side of an angle in standard position passes through P(15, -8). What is the value of mc018-1.jpg?
Not (a) mc018-2.jpg
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Given that mc010-1.jpg, what is the value of mc010-2.jpg, for mc010-3.jpg?
sqrt 2
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If mc008-1.jpg, which equation represents mc008-2.jpg?
B mc008-4.jpg
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Fatima wants to find the value of mc004-1.jpg, given mc004-2.jpg. Which identity would be best for Fatima to use?
D mc004-6.jpg
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Haruto simplified the value below. mc025-1.jpg Which statement explains whether Haruto is correct?
Haruto is correct because the angle is coterminal with mc025-2.jpg and the reference angle is mc025-3.jpg.
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Which of the following best explains the value of mc008-1.jpg on the unit circle below? mc008-2.jpg
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.
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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?
The reference angle should be mc026-14.jpg, and the sign of the value should be negative.
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Which equation can be used to determine the reference angle, r, if mc016-1.jpg?
B mc016-3.jpg
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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
14.1
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Which of the following represents the measures of all angles coterminal with a -220Â° angle?
140 + 360n, for any integer n
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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?
A The student made an error in step 3 because a is positive in Quadrant IV; therefore, mc026-9.jpg.
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Which expression converts 8 radians to degrees?
D mc003-4.jpg
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If mc003-1.jpg , what is the approximate value of csc mc003-2.jpg?
3.2362
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What is 720Â° converted to radians?
4 pi
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Angle B has a measure between 0 and 360 and is coterminal with a -865Â° angle. What is the measure of angle B?
215
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What is the value of mc019-1.jpg given the diagram below? mc019-2.jpg
A mc019-3.jpg
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Which angle is in standard position?