The Unit Circle
Which of the following best explains why tangent of (5pi/6) DOES NOT equal tangent of (5pi/3)?
The angles do not have the same reference angle.
What is the value of tangent of theta in the unit circle below?
sqrt of 3/3
The terminal side of an angle measuring (pi/6) radians intersects the unit circle at what point?
(sqrt 3/2, 1/2)
What is the value of sine theta in the diagram below?
24/25
What is the value of cosine of theta in the diagram below?
3/5
For which value of theta is sine of theta =-1?
3pi/2
The radius of the circle below intersects the unit circle at (3/5, 4/5). What is the approximate value of theta?
53.1 degrees
What is the reference angle for a 240° angle?
60°
Which of the following best explains why cosine of 2pi/3 DOES NOT EQUAL cosine of 5pi/3?
IT IS NOT The angles do not have the same reference angle.
On the unit circle, where 0<theta< or = 2pi, when is mc007-2.jpg undefined?
theta = (pi/2) and theta = (3pi/2)
Which of the following is true of the location of the terminal side of an angle, theta, whose sine value is 1/2?
theta has a reference angle of 30° and is in Quadrant I or II
Which of the following best explains why cosine of (2pi/3) DOES NOT equal cosine of (5pi/3)?
Cosine is negative in the second quadrant and positive in the fourth quadrant.
Which expression is equivalent to sine of 7pi/6)?
IT IS NOT sine of (5pi/3)
Which equation can be used to determine the reference angle, r, if theta=(7pi/12)?
r=pi-theta
Which expression can be used to determine the reference angle for an angle, x, measuring 150°?
180 degrees - x
Which of the following explains why cosine of 60 = sine of 30 using the unit circle?
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.
Which of the following is true of the values of x and y in the diagram below?
y/x = 1