Worksheet #1
Trigonometry Basics
Getting to Know All the Angles
Name _________________
Date ________ Period ___
Sketch the indicated angle.
1. Quadrant III, positive
2. Quadrant II, negative
3. Quadrant I, negative, <360
4. Quadrant IV, positive, >720
5. 60
6. –225
7. –400
8. 750
Find one positive and one negative angle coterminal with the given angle. Sketch all
three angles.
9. –30
Worksheet #1 Trig Basics
10. 135
11. 500
12. –570
Worksheet #2
Trigonometry Basics
Name _________________
DMS or Decimal
Date ________ Period ___
Complete the table. SHOW ALL WORK in the middle column.
DMS
Work
Decimal
25 50 22
–133 24 32
45.625
–283.527
321 55 40
128.914
Worksheet #2 Trig Basics
Worksheet #3
Trigonometry Basics
Name _________________
Degrees vs. Radians
Date ________ Period ___
Complete the table. SHOW ALL WORK in the middle column. Leave radians in terms of
 and degrees rounded to three decimal places.
Degrees
Work
Radians
120
5
6
3
4
260
2
–75
315
25
7
3
–625
5
12
210
OVER
Worksheet #3 Trig Basics
Find one positive and one negative angle coterminal with the given angle. Sketch all
three angles.
a.

4
b.
e.
7
12
f.
i.
25
4
j.
Worksheet #3 Trig Basics
2
3
8
5
10
3
c.
7
6
d.
5
3
g.
19
6
h.
17
12
k. 1
l. –2
Worksheet #4
Trigonometry Basics
Name _________________
Arc Lengths and Sector Areas
Date ________ Period ___
1. Find the angle in radians, and then find the area of the sector.
a.
b.
32
6
7
5
Complete the table.
Radius
Central
Angle
15 in
60°
6m
2.5 rad
4 ft
Work
Arc
Length
Sector
Area
9 ft
70.7 yd 2
225°
6.4 cm
Worksheet #4 Trig Basics
10.24 cm2