Cheatography
https://cheatography.com
Trigonometry Basics for Exam1
|
|
|
Formulas
Arc length |
S=rθ |
Area of a sector |
A=1/2r2θ |
Linear speed |
V=s/t=rθ/t=rw |
Angular speed |
w=θ/t |
R |
r=√x2 + y2 |
Unit circle trig functions
Sin θ=y/r |
Csc θ=r/y |
Cos θ=x/r |
Sec θ=r/x |
Tan θ=y/x |
Cot θ=x/y |
Degrees
Acute |
Less than 90 |
Right |
90 |
Obtuse |
More than 90, less than 180 |
Straight |
180 |
|
|
SohCahToa Trig Functions
Sinθ=opp/hyp |
Cscθ=hyp/opp |
Cosθ=adj/hyp |
Secθ=hyp/adj |
Tanθ=adj/opp |
Cotθ=app/adj |
|
|
Fundamental identities
Reciprocal Identities |
sinθ=1/csc |
cscθ=1/sin |
| |
cosθ=1/sec |
secθ=1/cos |
| |
tanθ=1/cot |
cotθ=1/tan |
Pythagorean Identities |
sin2θ + cos2θ=1 |
| |
1+tan2θ=sec2θ |
| |
1+cot2θ=csc2θ |
Quotient Identities |
tanθ=sinθ/cosθ |
| |
cotθ=cosθ/sinθ |
Odd and Even Functions
Odd |
Even |
sin(-t)=-sin t |
cos(-t)=cos t |
csc(-t)=-csc t |
sec(-t)=sec t |
tan(-t)=-tan t |
cot(-t)=-cot t |
|
Created By
Metadata
Comments
No comments yet. Add yours below!
Add a Comment
Related Cheat Sheets