The Unit Circle

8 September 2022
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18 test answers

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question
Which of the following best explains why tan5Ο€/6 ≉ tan 5Ο€/3?
answer
Tangent is positive in the second quadrant and negative in the fourth quadrant. (Wrong)
question
The terminal side of an angle measuring Ο€/6 radians intersects the unit circle at what point?
answer
(1/2 , √3/2) (wrong) (√3/3 , 1/2) (wrong)
question
The angle measures associated with which set of ordered pairs share the same reference angle?
answer
(-1/2 , - √3/2) , (1/2 , √3/2) (wrong)
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 sin 0?
answer
2√0.2
question
Which expression is equivalent to sin 7Ο€/6?
answer
Sin 11Ο€/6
question
On the unit circle, where 0<0<= 2Ο€, when is tan 0 undefined?
answer
0= Ο€/2 and 0=3Ο€/2
question
Which of the following is true of the location of the terminal side of an angle, 0, whose sin value is 1/2?
answer
0 has a reference angle of 30 degrees and is in quadrant 1 or 2
question
An angle that shares the same sin value of an angle that measures 5Ο€/4 radians is located where?
answer
Quadrant 2 (wrong)
question
Which expression can be used to determine the reference angle for an angle, x, measuring 150 degrees?
answer
X - 180 degrees (wrong) X-360 degrees (wrong)
question
Which of the following explains why cos 60 = sin 30 using the unit circle?
answer
The side opposite a 30 degree angle is the same as a side adjacent to 60 degree angle in a right triangle. On a unit circle, the y (sin) distance of a 30 degree angle is the same as the x (cos) distance of a 60 degree angle.
question
What is the value of tan 0 in the unit circle below?
answer
√3/2 (wrong)
question
In the diagram below, tan 0 = √3. What is the value of m?
answer
√3/2
question
For which value of 0 is sin 0= -1?
answer
3Ο€/2
question
Which of the following is true of the location of an angle, 0, whose tangent value is -√3/3?
answer
0 has a 30 degree reference angle and is located in quadrant 2 or 4
question
Which values for 0 have the same reference angles?
answer
Ο€/2 , 5Ο€/4, 7Ο€/4 (wrong)
question
What is the value of sin 0 in the diagram below?
answer
24/25
question
What are the values of m and 0 in the diagram below?
answer
M=√3/3 , 0= Ο€/6 (wrong)
question
What is the value of cos 0 in the diagram below?
answer
4/5 (wrong)