Radians & Degrees (7.1)
Right Triangle Trig (7.2)
Trig Functions of Acute Angles (7.3)
Trig Functions of Any Angle (7.4)
Unit Circle Trig (7.5)
100
How many degrees are in
π (pi) radians?
180^o
100
What is the exact value of
tan theta?
tantheta = 5/12
100
Draw and label all angles and all sides of the following triangles:
1. 45^o-45^o-90^o
2. 30^o-60^o-90^o
100
Name the quadrant where angle θ lies if:
sin theta >0 and cos theta <0
Quadrant II
100
Use the fact that trig functions are periodic to find the exact value of:
sin 390^o
sin 390^o = sin 30^o = 1/2
200
Convert to degrees:
(2pi)/3
120^o
200
What is the exact value of
costheta?
costheta=2/4=1/2
200
Find the exact value of:
1. sin45^o
2. cos 45^o
1. (sqrt2)/2
2. (sqrt2)/2
200
Use a coterminal angle to find the exact value of:
tan 405^o
tan 405^o = tan 45^o =1
200
Use the even-odd properties to find the exact value of:
cos (-60^o)
cos (-60^o) = cos (60^o) = 1/2
300
Convert to radians:
240^o
(4pi)/3
300
What is the exact value of
sintheta?
sintheta=3/5
300
Find the exact value of:
1. cos 30^o
2. sin 60^o
1. (sqrt3)/2
2. (sqrt3)/2
300
Use a reference angle to help find the exact value of:
cos 210^o
cos 210^o = -cos 30^o = -sqrt3/2
300
The point
(-sqrt2/2, sqrt2/2)
is on the unit circle. Find cos θ.
cos theta = -sqrt2/2
400
Convert to degrees:
(5pi)/4
225^o
400
What is the exact value of
sintheta?
sintheta=1/(sqrt5)=(sqrt5)/5
400
Find the exact value of:
2sin 45^o + 6cos 30^o
sqrt2+3sqrt3
400
The point (2, -3) lies on the terminal side of an angle θ. Find the exact value of sin θ.
sin theta = -3/sqrt13 = (-3sqrt13)/13
400
The point
(-sqrt3/2, -1/2)
is on the unit circle. Find sin θ.
sin theta = -1/2
500
Convert to degrees:
(7pi)/4
315^o
500
What is the value of
costheta?
costheta=(sqrt3)/(sqrt7)=(sqrt21)/7
500
Find the exact value of:
(sin 60^o) (tan 30^o)
(sqrt3/2)(sqrt3/3)=3/6=1/2
500
Find the remaining 5 trig functions of θ, given:
sin theta =5/13, pi/2<theta<pi
cos theta =-12/13, tan theta = -5/12, csc theta = 13/5, sec theta = -13/12, cot theta = -12/5
500
The point
(1/2, -sqrt3/2)
is on the unit circle. Find tan θ.
-sqrt3