ID: 1
Algebra 2
Name___________________________________
Coterminal and Reference Angles and Exact Values
Date________________ Period____
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1) Get Ready: fill in the chart of the trig functions of the SPECIAL ANGLES
sin θ
cos θ
tan θ
-----------------------------------------------------------------------------------------------0°
------------------------------------------------------------------------------------------------30°
------------------------------------------------------------------------------------------------45°
------------------------------------------------------------------------------------------------60°
------------------------------------------------------------------------------------------------90°
------------------------------------------------------------------------------------------------2) CLASS NOTES: The less "loved" ratios
cosecant
secant
cotangent
sec θ
cot θ
csc θ
-----------------------------------------------------------------------------------------------0°
------------------------------------------------------------------------------------------------30°
------------------------------------------------------------------------------------------------45°
------------------------------------------------------------------------------------------------60°
------------------------------------------------------------------------------------------------90°
------------------------------------------------------------------------------------------------Find the exact value of each trigonometric function.
3) sec 315°
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4) sec 150°
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Worksheet by Kuta Software LLC
5) cot 315°
6) cot 270°
7) csc 240°
8) csc 150°
9) sec 0°
10) csc 135°
State the quadrant in which the terminal side of each angle lies.
11) −138°
12) −80°
13) 280°
14) −260°
15) 523°
16) 193°
Draw an angle with the given measure in standard position.
18) 490°
17) −380°
y
y
x
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x
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Worksheet by Kuta Software LLC
19) 570°
20) −300°
y
y
x
x
Find the reference angle.
21) 290°
22) 100°
23) 370°
24) 545°
Rewrite each trigonometric function using a positive acute angle, then determine its exact value.
25) tan 0°
26) cos 150°
27) tan 180°
28) cos 135°
29) tan 315°
30) cos 330°
31) tan 690°
32) sin 675°
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Worksheet by Kuta Software LLC
33) cos 930°
34) sin 0°
35) sin 30°
36) sin 840°
37) SUMMARIZE: Describe what you know about each trignometric function. Include its meaning in right
triangles and the unit circle.
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Worksheet by Kuta Software LLC