Coterminal and Reference Angles
Trig and the Coordinate Plane
Law of Sines and Cosines
Unit Circle Trig Ratios
Miscellaneous
100
Find the reference angle of 49π/11
5π/11
100
Positive angles open in which direction on the coordinate plane?
Counterclockwise
100
When do you use the law of cosines?
SAS or SSS
100
Evaluate tan (3π/4)
-1
100
Positive, acute angles that are measured nearest x-axis
Reference angles
200
Find the reference angle of -460 degrees
80 degrees
200
Which reciprocal trig function is positive in the second quadrant?
Cosecant
200
When given SSA, we will need to use the Law of ______ and check for the ________________ case.
Sines
Ambiguous
200
Given the trig function below, find all angles between 0 and 360 degrees
costheta=-1/2
120 and 240 degrees
200
Angle measure that sit on the x and y axes
Quadrantals
300
Find a negative coterminal angle for 39π/17
-29π/17, -63π/17
300
If secθ < 0 and tan θ > 0, what quadrant does the terminal side of the angle lie in?
QIII
300
Find angle A.
A = 38 degrees
300
Evaluate cot (-π)
undefined
300
A tree casts a shadow 76ft long. The angle of elevation from a squirrel on the ground to the top of the tree is 49 degrees. Find the height of the tree.
87.43 ft
400
Find an angle (between 0 and 360) in the third quadrant that has a reference angle of 67 degrees.
247 degrees
400
Find sinθ given the coordinate (2, -3)
(-3√13)/13
400
Find the length ST.
11.59 km
400
Evaluate csc (-135o)
-sqrt(2)
400
Solve the given trig equation. Keep angles between
0^o<theta<360^o
sectheta=(-2sqrt(3))/3
150^o and 210^o
500
In what quadrant is the angle 103π/15 located?
QII (coterminal to 13π/15)
500
Find cotθ given the coordinate (-√11, √23)
-√253/23
500
Find the measure(s) of angle B. Round to the hundredths.
68.27, 111.73 degrees
500
Given the trig function below, find all angles between 0 and 2pi radians such that
cot theta=sqrt(3)
pi/6, (7pi)/6
500
Solve the given trig equation where
0<theta<2pi
csc^2theta-csctheta-2=0
theta = pi/6, (5pi)/6, (3pi)/2