Quadrants
Reference angles
Coterminal Angles
Evaluating
Solve Trig Functions
100
Identify the quadrant in which the terminating ray for theta lies.
theta =250^o
Quadrant III
100
Find the reference angle for theta=315^o
theta'=45^o
100
Find the next positive coterminal angle for
theta=80^o
theta=440^o
100
Identify the simplified Sin, Cos and Tan ratio for theta=30
sin theta=1/2
cos theta=sqrt3/2
tan theta=sqrt3/3
100
Solve for all values of theta , such that 0^o<=theta<360^o
sin theta=1/2
theta=30^o, 150^o
200
Identify the quadrant in which the terminating ray for theta lies.
theta=475^o
Quadrant II
200
Find the reference angle for theta=(11pi)/8
theta'=(3pi)/8
200
True or False: 0^o and 360^o are coterminal angles.
True
200
Identify the simplified Sin, Cos and Tan ratio for theta=135^o
sin theta=sqrt2/2
cos theta=-sqrt2/2
tan theta=-1
200
Solve for all values of theta , such that 0^o<=theta<360^o
cos theta=-sqrt3/2
theta=150^o, 210^o
300
Identify the quadrant in which the terminating ray for theta lies.
theta=(9pi)/5
Quadrant IV
300
Find the reference angle for
theta=270^o
N/A - No reference angle
Quadrantal
300
Find the next negative coterminal angle for theta=130^o
theta=-230^o
300
Identify the simplified Sin, Cos and Tan ratio for theta=(5pi)/3
sin theta=-sqrt3/2
cos theta=1/2
tan theta=-sqrt3
300
Solve for all values of theta , such that 0^o<=theta<360^o
tan theta=-1
theta=135^o, 315^o
400
Identify all the possible quadrants where the terminating ray for theta could lie.
tan^2 theta>0
All 4 Quadrants
400
What is a reference angle?
The shortest rotation(distance) to the x-axis.
400
Find the next positive coterminal angle for
theta=(3pi)/7
theta=(17pi)/7
400
Identify the simplified Sin, Cos and Tan ratio for theta=(7pi)/2
sin theta=-1
cos theta=0
tan theta=undefined
400
Solve for all values of theta , such that 0<=theta<2pi
2sin theta+sqrt3=0
theta=(4pi)/3, (5pi)/3
500
Identify all the possible quadrants where the terminating ray for theta could lie.
cos theta<0
Quadrants II, III
500
Find the reference angle for theta=5pi
N/A - no reference angle
Quadrantal
500
How many coterminal angles does any given angle have?
Infinitely many
500
Identify the simplified Sin, Cos and Tan ratio for
sin theta=-8/17
cos theta=15/17
tan theta=-8/15
500
Solve for all values of theta , such that 0<=theta<2pi
2cos^2 theta-1=0
theta=pi/4, (3pi)/4, (5pi)/4, (7pi)/4