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133231235
Trigonometric Key Angles
Name __________
#1.
\(\csc 45°\)
\(-\sqrt{2}\)
\(0\)
\(\frac{\sqrt{3}}{3}\)
\(\sqrt{2}\)
#2.
\(\sec 330°\)
\(-2\)
\(-\frac{\sqrt{3}}{3}\)
\(\frac{2\sqrt{3}}{3}\)
\(\frac{\sqrt{2}}{2}\)
#3.
\(\csc \frac{5\pi}{4}\)
\(-\frac{\sqrt{3}}{2}\)
\(-\sqrt{2}\)
\(-\sqrt{3}\)
\(1\)
#4.
\(\sec 210°\)
\(-1\)
\(-2\)
\(-\frac{2\sqrt{3}}{3}\)
\(0\)
#5.
\(\csc 3\pi\)
\(2\)
\(\frac{2\sqrt{3}}{3}\)
\(\frac{\sqrt{3}}{2}\)
\(undefined\)
#6.
\(\cot -495°\)
\(-\frac{\sqrt{3}}{3}\)
\(-\sqrt{3}\)
\(1\)
\(\frac{\sqrt{2}}{2}\)
#7.
\(\cot \frac{-23\pi}{6}\)
\(-\frac{2\sqrt{3}}{3}\)
\(-\sqrt{3}\)
\(\frac{\sqrt{2}}{2}\)
\(\sqrt{3}\)
#8.
\(\cot -300°\)
\(-1\)
\(-\frac{1}{2}\)
\(\frac{\sqrt{3}}{3}\)
\(undefined\)
#9.
\(\csc 135°\)
\(-\frac{\sqrt{3}}{3}\)
\(-\sqrt{3}\)
\(\frac{\sqrt{2}}{2}\)
\(\sqrt{2}\)
#10.
\(\sin \frac{7\pi}{4}\)
\(-\frac{\sqrt{2}}{2}\)
\(\frac{1}{2}\)
\(\frac{\sqrt{2}}{2}\)
\(\sqrt{3}\)
#11.
\(\sin 30°\)
\(-2\)
\(-\frac{2\sqrt{3}}{3}\)
\(-\sqrt{2}\)
\(\frac{1}{2}\)
#12.
\(\csc \frac{-5\pi}{6}\)
\(-1\)
\(-2\)
\(-\sqrt{2}\)
\(\frac{2\sqrt{3}}{3}\)
#13.
\(\cot \frac{\pi}{3}\)
\(\frac{2\sqrt{3}}{3}\)
\(\frac{\sqrt{2}}{2}\)
\(\frac{\sqrt{3}}{3}\)
\(undefined\)
#14.
\(\csc 0°\)
\(-\frac{\sqrt{2}}{2}\)
\(-\frac{\sqrt{3}}{3}\)
\(\sqrt{3}\)
\(undefined\)
#15.
\(\sin \frac{5\pi}{4}\)
\(-\frac{2\sqrt{3}}{3}\)
\(-\frac{\sqrt{2}}{2}\)
\(\frac{2\sqrt{3}}{3}\)
\(\frac{\sqrt{3}}{3}\)
#16.
\(\cot 150°\)
\(-\frac{\sqrt{2}}{2}\)
\(-\sqrt{2}\)
\(-\sqrt{3}\)
\(\frac{1}{2}\)
#17.
\(\sec 180°\)
\(-1\)
\(-\frac{\sqrt{3}}{2}\)
\(-\sqrt{2}\)
\(\frac{\sqrt{3}}{2}\)
#18.
\(\cos 225°\)
\(-1\)
\(-\frac{\sqrt{2}}{2}\)
\(-\frac{\sqrt{3}}{3}\)
\(0\)
#19.
\(\cos 210°\)
\(-\frac{2\sqrt{3}}{3}\)
\(-\frac{\sqrt{3}}{2}\)
\(-\sqrt{2}\)
\(\sqrt{3}\)
#20.
\(\cot 45°\)
\(-1\)
\(-\frac{\sqrt{2}}{2}\)
\(-\frac{\sqrt{3}}{3}\)
\(1\)
#21.
\(\cot \frac{15\pi}{4}\)
\(-1\)
\(0\)
\(2\)
\(\frac{\sqrt{2}}{2}\)
#22.
\(\sec \frac{7\pi}{4}\)
\(-\frac{1}{2}\)
\(-\frac{\sqrt{2}}{2}\)
\(-\sqrt{3}\)
\(\sqrt{2}\)
#23.
\(\sec \frac{-11\pi}{6}\)
\(-2\)
\(-\frac{\sqrt{3}}{2}\)
\(\frac{2\sqrt{3}}{3}\)
\(\sqrt{2}\)
#24.
\(\cos \frac{4\pi}{3}\)
\(-1\)
\(-\frac{1}{2}\)
\(\frac{\sqrt{3}}{2}\)
\(\sqrt{2}\)
#25.
\(\sec 585°\)
\(-\sqrt{2}\)
\(0\)
\(\sqrt{2}\)
\(\sqrt{3}\)
#26.
\(\csc 240°\)
\(-\frac{2\sqrt{3}}{3}\)
\(-\frac{\sqrt{3}}{2}\)
\(1\)
\(\frac{2\sqrt{3}}{3}\)
#27.
\(\cos \frac{5\pi}{6}\)
\(-\frac{\sqrt{3}}{2}\)
\(1\)
\(\frac{\sqrt{3}}{3}\)
\(\sqrt{3}\)
#28.
\(\cos -300°\)
\(0\)
\(\frac{1}{2}\)
\(\sqrt{2}\)
\(undefined\)
#29.
\(\csc 390°\)
\(-1\)
\(-\frac{\sqrt{2}}{2}\)
\(2\)
\(undefined\)
#30.
\(\csc 330°\)
\(-2\)
\(1\)
\(\frac{\sqrt{2}}{2}\)
\(\sqrt{2}\)
1
A
B
C
D
2
A
B
C
D
3
A
B
C
D
4
A
B
C
D
5
A
B
C
D
6
A
B
C
D
7
A
B
C
D
8
A
B
C
D
9
A
B
C
D
10
A
B
C
D
11
A
B
C
D
12
A
B
C
D
13
A
B
C
D
14
A
B
C
D
15
A
B
C
D
16
A
B
C
D
17
A
B
C
D
18
A
B
C
D
19
A
B
C
D
20
A
B
C
D
21
A
B
C
D
22
A
B
C
D
23
A
B
C
D
24
A
B
C
D
25
A
B
C
D
26
A
B
C
D
27
A
B
C
D
28
A
B
C
D
29
A
B
C
D
30
A
B
C
D