Trigonometry Summary, Cheat Sheet of Mathematics

Cheat sheet for trigonometric identities

Typology: Cheat Sheet

2020/2021

Uploaded on 07/10/2021

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Precalculus Quarter 2: Trigonometry | 1 Made by: RV Sahagun
Precalculus Quarter 2: TRIGONOMETRY
Formulas to Remember
THE UNIT CIRCLE
These are special angles in standard position with the indicated terminal sides.
Here is a summary table of special angles with their degree to radian
conversion:
Degree
Radian
Degree
Radian
30ยฐ
๐œ‹
6
210ยฐ
7๐œ‹
6
45ยฐ
๐œ‹
4
225ยฐ
5๐œ‹
4
60ยฐ
๐œ‹
3
240ยฐ
4๐œ‹
3
90ยฐ
๐œ‹
2
270ยฐ
3๐œ‹
2
120ยฐ
2๐œ‹
3
300ยฐ
5๐œ‹
3
135ยฐ
3๐œ‹
4
315ยฐ
7๐œ‹
4
150ยฐ
5๐œ‹
6
330ยฐ
11๐œ‹
6
180ยฐ
๐œ‹
360ยฐ
2๐œ‹
The figure below shows some special angles in standard position with the
indicated terminal sides. The degree and radian measures are also given.
pf3
pf4

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Precalculus Quarter 2: TRIG ON O M ETR Y

Formulas to Remember

THE UNIT CIRCLE

These are special angles in standard position with the indicated terminal sides.

Here is a summary table of special angles with their degree to radian

conversion:

Degree Radian Degree Radian

The figure below shows some special angles in standard position with the

indicated terminal sides. The degree and radian measures are also given.

CIRCULAR FUNCTIONS

Here is a table summary of special angles with its corresponding coordinates:

Degree Coordinates sin ๐œฝ cos ๐œฝ tan ๐œฝ csc ๐œฝ sec ๐œฝ cot ๐œฝ

๐œƒ ( x , y ) y x

0 (1,0) 0 1 0 und 1 und

90 (0,1) 1 0 und 1 und 0

180 (โˆ’ 1 , 0 ) 0 โˆ’ 1 0 und โˆ’ 1 und

270 ( 0 , โˆ’ 1 ) โˆ’ 1 0 und โˆ’ 1 und 0

360 (1,0) 0 1 0 und 1 und

TRIGONOMETRIC IDENTITIES

1. Reciprocal Identities:

sin ๐œƒ =

csc ๐œƒ

csc ๐œƒ =

sin ๐œƒ

cos ๐œƒ =

sec ๐œƒ

sec ๐œƒ =

cos ๐œƒ

tan ๐œƒ =

cot ๐œƒ

cot ๐œƒ =

tan ๐œƒ

2. Cofunction Identities:

sin ๐œƒ = cos (

โˆ’ ๐œƒ) cos ๐œƒ = sin (

sec ๐œƒ = csc (

โˆ’ ๐œƒ) csc ๐œƒ = sec (

tan ๐œƒ = cot (

โˆ’ ๐œƒ) cot ๐œƒ = tan (