trig functions cheat sheet, Cheat Sheet of Trigonometry

Great Trigonometry functions cheat sheet: reciprocal, ratio, half/double angle, sum/difference, pythagorean, even/odd identities and other useful trig formulas

Typology: Cheat Sheet

2018/2019

Uploaded on 09/02/2019

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bg1
s +
c +
t +
c +
s +
c +
s +
c
t
c +
s
c
s
c
t +
c
s
c +
s
c +
t
c
s +
c
x +
y +
r +
x
y +
r +
x
y
r +
x +
y
r +
0º = 360º
270º
30º
90º
180º
60º
45º






TRIG SHEET
DEG
RAD
SIN
COS
TAN
CSC
SEC
COT

0
1
0
1
30º

1
2
3
2
3
3
2
2 3
3
3
45º

2
2
2
2
1
2
2
1
60º

3
2
1
2
3
2 3
3
2
3
3
90º

1
0
1
0
180º

0
-1
0
-1
270º

-1
0
-1
0
360º

0
1
0
1
45-45-90 Right
Triangle
30-60-90 Right
Triangle
1
1
1
2
3
2
30º
60º
45º
45º
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s + c + t + c + s + c +

s + c t c + s c

s c t + c s c +

s c + t c s + c

x +

y +

r +

x –

y +

r +

x –

y –

r +

x +

y –

r +

TRIG SHEET

DEG RAD SIN COS TAN CSC SEC COT

30º ^1

45º ^2

60º ^3

45 - 45 - 90 Right Triangle

30 - 60 - 90 Right Triangle

3

RECIPROCAL IDENTITIES

RATIO IDENTITIES

PYTHAGOREAN

IDENTITIES

EVEN/ODD IDENTITIES

HALF ANGLE IDENTITIES DOUBLE ANGLE IDENTITIES

SUM/DIFFERENCE IDENTITIES

OTHER USEFUL TRIG FORMULAS

Law of Sines:

sin A sin sin a

B

b

C

  c

a b c bc A b a c ac B c a b ab C

2 2 2 2 2 2 2 2 2

  • cos
  • cos
    • cos

Area of a Triangle:

A bh A ab C A ac B A bc A

(^12) (^12) (^12) (^12)

  • sin
  • sin
  • sin

Law of Cosines :