Quadrants
Angles
Unit Circle
Graphing Trig Functions
Evaluate
Little Miss/Mister Know it ALL
100
List how to find the reference angle in each of the four quadrants.
100
An angle in standard position always starts at this side
What is the initial side (positive x-axis)
100
3 patterns found on the unit circle.
Answers vary...
100
Trig functions that have a period of
pi
What is tangent and cotangent?
100
sin(pi/3)
What is
sqrt(3)/2
100
(5pi)/3 to degrees
What is 300 degrees?
200
All trig functions are negative except Tangent
What is Quadrant 3?
200
An angle in standard position ends at this side
What is the terminal side?
200
The terminal side of an angle passes through the unit circle at P(x,y). These trig functions can be used to find the coordinate.
What is (cos T, Sin T)?
200
The graphs of sec, csc, tan, and cot all have this type of line that guides the graph of the function but is not actually part of it.
What are Vertical Asymptotes?
200
cos((2pi)/3)
What is
-1/2
200
The arc length given
r=7 cm and theta=150 ^circ
What is
(35pi)/6
300
The terminal side of 1060 lies in this quadrant
What is Quadrant Q4?
300
The smallest positive angle coterminal with -100 degrees
What is 260 degrees?
300
The terminal side of an angle passes through the unit circle at (0, 1). The measure of the angle (in radians) is
What is
pi/2
?
300
The period of
y=4sin(pi theta)-8
What is 2?
300
csc((5pi)/6)
What is 2?
300
The 6 trig functions of angle A, whose terminal side contains the point (-8,15)
sin A = 15/17; cos A = -8/17; tan A = -15/8; csc A = 17/15; sec A = -17/8; cot A = -8/15
400
sin A > 0 and cos A > 0
What is Quadrant 1?
400
Two negative angles coterminal with 140 degreees
What are -220 degrees and -580 degrees?
400
The tangent of
pi/2 or(3pi)/2
What is undefined?
400
Given the parent function, list the transformations that occur on the new graph.
y=sin(theta) -> y=-2sin(4theta)+1
a = -2, so the amplitude shifts from 1 to 2 creating a vertical stretch by a factor of 2, as well as reflecting across the x-axis. b = 4, so the period changes from 2pi to pi/2, shrinking it horizontally. d=1, so it shifts the entire graph vertically up 1 unit.
400
tan((7pi)/4)
What is -1?
400
cot A=-4/3 and cos A<0
Find sec A and csc A.
sec A=-5/4 ; csc A=5/3
500
sin A < 0 and (tan A)(sin A) > 0
What is Quadrant 4?
500
The smallest positive angle coterminal with -800 degrees
What is 280 degrees?
500
Tangent is y/x. This is another way to represent tangent.
sin T / cos T
500
Graph
y=-3csc((theta)/3+pi/4)+2
500
sec(-(4pi)/3)
What is -2?
500
These angles (in radians) have a cosine of 1/2.
What is
pi/3 and (5pi)/3