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November 2025

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A radian is created by tracing what measurement around a circle?(1 point) Responses circumference circumference radius radius diameter diameter 30° arc 30 degrees arc
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Convert 60 degrees to radians. (1 point) 60 degrees = radians
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What is another unit of angle measure in addition to degrees?(1 point)
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What process is described as the requirement of following predetermined procedure prior to depriving an individual of life, liberty, and property?(1 point) Responses civil liberties civil liberties procedural due process...
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Analyze the meaning of substantive due process.(1 point) Responses It focuses on the procedural process that must be followed in the legal system. It focuses on the procedural process that must be followed in the legal s...
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Plessy v. Ferguson was a landmark Supreme Court Case that focused on which Fourteenth Amendment clause?(1 point) Responses equal protection clause equal protection clause citizenship clause citizenship clause penalty cla...
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Analyze why the addition of the Fourteenth Amendment was necessary.(1 point) Responses to limit the powers held by the states, prevent unjust treatment, and ensure equal rights for all citizens to limit the powers held b...
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Which of the statements best describes the rights of individuals stated in the Constitution under the protection of habeas corpus?(1 point) Responses A punishment will not be implemented without a trial. A punishment wil...
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Given that cosθ=0 , find the coordinates of the point where the terminal side of θ intersects the unit circle if θ is an obtuse angle.(1 point) Responses (0, −1) left parenthesis 0 comma space negative 1 right parenthesi...
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What is the value of cosθ if the terminal side of θ and the unit circle intersect at point (2√2, −2√2) .(1 point) Responses −2√2 negative Start Fraction Start Root 2 End Root over 2 End Fraction 12 Start Fraction1 over 2...
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When finding cosθ=3√2 on a unit circle, what type of special right triangle or a ray is used?(1 point) Responses 30-60-90 triangle 30-60-90 triangle a vertical ray from the origin a vertical ray from the origin 45-45-90...
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Which of the following correctly uses the special triangles on the unit circle to determine θ in degrees when cosθ=2√2 ? You may assume that 0°≤θ≤180° . (1 point) Responses 30° 30 degrees 90° 90 degrees 60° 60 degrees 45...
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Cosine is established as a rotation of a ray formed initially on which axis?(1 point) Responses the negative x-axis the negative x -axis the positive y-axis the positive y -axis the negative y-axis the negative y -axis t...
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Find the coordinates of the point shown on the unit circle, if cosθ=−12 .(1 point)
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Question Find cosθ if the y-coordinate of the point where the terminal side of θ intersects the unit circle is 2√2 , given that θ is an acute angle and in the first quadrant.(1 point)
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Use the image to answer the question. Graph of unit circle in the first quadrant. What is cos0° ? (1 point)
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Use the image to answer the question. Graph of unit circle in the first quadrant. If the cosine of an angle θ is 12 , what is θ ? You may assume that 0°≤θ≤180° . (1 point)
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Question A ray from the positive x-axis is rotated −270° . What is the cosine of the angle formed by this ray?(1 point)
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A point on the unit circle is (12,3√2) . What is the sine of the angle formed by a terminal ray that intersects the unit circle at this point?(1 point) Responses −3√2 negative Start Fraction Start Root 3 End Root over 2...
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Question What is the value of sine of θ when θ=90° ?(1 point) Responses 1 1 12 1 half -1 -1 0 0 Skip to navigation
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Use the special triangles on the unit circle to determine θ in degrees when sinθ=3√2 . (1 point) Responses 30° 30° 90° 90° 60° 60° 45° 45° Skip to navigation
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On the unit circle, a right triangle with an angle measure of θ has a leg opposite of θ with a length of 12 what is the length of the other leg? Use the Pythagorean Theorem.(1 point) Responses 2 2 3√2 the fraction with n...
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Use the image to answer the question. a right triangle graphed in quadrant 1 of the coordinate plane.Image Long DescriptionThe points left parenthesis start fraction start square root 3 end square root over 2 end fractio...
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Use the image to answer the question. A circle is drawn with a marked and labeled point plotted on the circumference. Image Long DescriptionA vertical line and a horizontal line intersect at the midpoint of the circle an...
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What is sin60° ? (1 point)
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