Coterminal and Reference Angles
Trig and the Coordinate Plane
Know the Quadrants
Converting Between Radians and Degrees
Unit Circle/ASTC
100
List the rules for calculating the reference angles in each quadrant!
100
In the accompanying diagram of the right triangle ABC, determine cot B.
4/3
100
In which quadrant would the terminal ray of an angle drawn in standard position fall if the angle measures 500˚?
QII
100
What year did Instagram launch?
2010
100
Explain what ASTC stands for and what quadrants each are found in!
Q1: A = All positive
Q2: S = Sine positive
Q3: T= Tangent positive
Q4: C = Cosine positive
200
A positive angle that is coterminal with -210˚ is
150˚
200
List the trig functions & identify their reciprocal functions!
Sine (Cosecant)
Cosine (Secant)
Tangent (Cotangent)
200
If sin θ < 0 and cot θ > 0, in which quadrant does the terminal side of angle θ lie?
QIII
200
What do you multiply by to change degrees to radians?
pi/180
200
In Mean Girls, Cady moves to Illinois from which continent?
Africa
300
What is the most popular car color in the USA?
White
300
Given tantheta=7/24, and θ terminates in Quadrant III, determine the value of csc θ.
csctheta=-25/24
300
An angle that measures (5pi)/6 radians is drawn in standard position. In which quadrant does the terminal side of the angle lie? Explain your answer.
QII
(5pi)/6 terminal side lies in QII because it's degree measure is 150˚, which falls between 90˚<=x<=180˚
300
What is (17pi)/12 expressed in degree measure?
255o
300
State the quadrantal angles and their coordinates of the unit circle.
0˚, 360˚: (1, 0)
90˚: (0, 1)
180˚: (-1, 0)
270˚: (0, -1)
400
What are the rules of determining coterminal angles?
If θ > 360°, then θ - 360°
If θ < 0°, then θ + 360°
400
Name the song and artist of the following lyrics:
“Jealousy, turning saints into the sea, Swimming through sick lullabies, Choking on your alibis”
‘Mr. Brightside’ – The Killers
400
For the rotation -249°, find the coterminal angle from 0°<= theta < 360° , the quadrant, and the reference angle.
Coterminal angle: 111˚
QII
thetar=69˚
400
What do you multiply by to change radians to degrees?
180/pi
400
In a unit circle, what is the ordered pair of (x, y) equivalent to?
(costheta, sintheta)
500
The terminal side of θ , an angle in standard position, intersects the unit circle at P(-1/3,-(sqrt8)/3) . What is the value of sec θ?
sec θ = - 3
500
The point P=(x, -(sqrt40)/7 ) lies on the unit circle shown below. What is the value of x in simplest form?
x=+-3/7
500
Which Michael Jackson music video features dancing zombies?
Thriller
500
What is 235˚, expressed in radian measure?
(47pi)/36
500
Express the following as a function of a positive acute angle: tan(-162°)
tan(18˚)