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Unit Circle Table and Trigonometric Functions Identities, Summaries of Trigonometry

A unit circle table with trigonometric functions values for different angles in degrees and radians. It also explains the identities of sine, cosine, and tangent functions for matching pairs. Useful for understanding trigonometry concepts.

Typology: Summaries

2021/2022

Uploaded on 09/12/2022

courtneyxxx
courtneyxxx 🇺🇸

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bg1
und–101und–101und
cot θ
12und–2–1–2und21
sec θ
und–2–1–2und212und
csc θ
0–1und10–1und10
tan θ
10–101
cos θ
0 1010
sin θ
360
o
330
o
315
o
300
o
270
o
240
o
225
o
210
o
180
o
150
o
135
o
120
o
90
o
60
o
45
o
30
o
0
o
θ
2π
11π
6
7π
4
5π
3
3π
2
4π
3
5π
4
7π
6
π
5π
6
3π
4
2π
3
π
2
π
3
π
4
π
6
0
2
2
2
2
2
2
2
2
2
2
2
2
2
22
2
3
2
1
2
1
2
1
2
1
2
1
2
2
3
2
3
2
3
2
23
3
23
2
23
3
3
2
3
3
3
3
3
3
3
3
3
33
1
2
1
2
3
2
3
2
2
3
3
3
3
3
3
2
3
2
3
3
23
3
23
32
3
3
1
2
2
2
3
3
23
3
2
23
3
3
2
23
3
Unit Circle Table
…\UnitCircle.ppt
pf3
pf4
pf5

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und

und

und

cot

θ

und

und

sec

θ

und

und

und

csc

θ

und

und

tan

θ

cos

θ

sin

θ

o

o

o

o

o

o

o

o

o

o

o

o

o

o

o

o

o

Unit Circle Table

Notes regarding cyclic equal values:

Sine – matching pairs are symmetrical within (0,

π

) and (

π

π

) centered around

π

2

. and

3

π

2

respectively. So the value of sine(

π

6

) is

the same as sin(

π

π

6

) and the value of sin(

7

π

6

) is the same as sin(

π

7

π

6

Cosine – matching pairs are symmetrical around

π

over the domain of [0, 2

π

]. So the value of cos(

π

6

) is the same as cos(

π

π

6

Tangent – matching pairs are

π

apart over the interval [0, 2

π

]. So the value of tan(

π

6

) is the same as tan(

π

π

6

0

o

/ 360

o

15

o

30

o

45

o

o 60

o^75

90 o

180

o

225

o

120

o

150

o

165

o

7

π 12

3

π 4

13

π

12

4

π 3

17

π 12

3

π 2

7

π 6

19

π 12

5

π 3

11

π 6

23

π 12

Name: ___________________________________ Date: ______________

Degrees inside,Radians outside

Name: ___________________________________ Date: ______________

Degrees inside,Radians outside