ScienceMathAlgebraThe Unit Circle
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The Unit Circle

Urbana Diaz avatar Urbana Diaz
8 September 2022
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17 test answers

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question
On the unit circle, where 0
answer
theta = (pi/2) and theta = (3pi/2)
question
Which of the following best explains why tangent of (5pi/6) DOES NOT equal tangent of (5pi/3)?
answer
The angles do not have the same reference angle.
question
Which of the following best explains why cosine of (2pi/3) DOES NOT equal cosine of (5pi/3)?
answer
Cosine is negative in the second quadrant and positive in the fourth quadrant.
question
What is the value of cosine of theta in the diagram below?
answer
3/5
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What is the reference angle for a 240° angle?
answer
60°
question
Which of the following is true of the location of the terminal side of an angle, theta, whose sine value is 1/2?
answer
theta has a reference angle of 30° and is in Quadrant I or II
question
The terminal side of an angle measuring (pi/6) radians intersects the unit circle at what point?
answer
(sqrt 3/2, 1/2)
question
What is the value of sine theta in the diagram below?
answer
24/25
question
The radius of the circle below intersects the unit circle at (3/5, 4/5). What is the approximate value of theta?
answer
53.1 degrees
question
Which of the following is true of the values of x and y in the diagram below?
answer
y/x = 1
question
Which equation can be used to determine the reference angle, r, if theta=(7pi/12)?
answer
r=pi-theta
question
For which value of theta is sine of theta =-1?
answer
3pi/2
question
Which of the following explains why cosine of 60 = sine of 30 using the unit circle?
answer
The side opposite a 30° angle is the same as the side adjacent to a 60° angle in a right triangle. On a unit circle, the y (sin) distance of a 30° angle is the same as the x (cos) distance of a 60° angle.
question
Which expression is equivalent to sine of 7pi/6)?
answer
IT IS NOT sine of (5pi/3)
question
What is the value of tangent of theta in the unit circle below?
answer
sqrt of 3/3
question
Which expression can be used to determine the reference angle for an angle, x, measuring 150°?
answer
180 degrees - x
question
Which of the following best explains why cosine of 2pi/3 DOES NOT EQUAL cosine of 5pi/3?
answer
IT IS NOT The angles do not have the same reference angle.