Sideway
output.to from Sideway

Draft for Information Only

Trigonometry

The Trigonometric Functions

 IMAGE...
 IMAGE...
 IMAGE...
 IMAGE...
 IMAGE...
 IMAGE...
 IMAGE...

The Values of Common Angles of Trigonometric Functions

Degrees Radians sin θ cos θ tan θ cot θ sec θ csc θ
0 0 0 1 0 undefined 1 undefined
30 π/6 1/2 √3/2 √3/3 √3 2√3/3 2
45 π/4 √2/2 √2/2 1 1 √2 √2
60 π/3 √3/2 1/2 √3 √3/3 2 2√3/3
90 π/2 1 0 undefined 0 undefined 1
120 2π/3 √3/2 -1/2 -√3 -√3/3 -2 2√3/3
135 3π/4 √2/2 -√2/2 -1 -1 -√2 √2
150 5π/6 1/2 -√3/2 -√3/3 -√3 -2√3/3 2
180 π 0 -1 0 undefined -1 undefined
210 7π/6 -1/2 -√3/2 √3/3 √3 -2√3/3 -2
225 5π/4 -√2/2 -√2/2 1 1 -√2 -√2
240 4π/3 -√3/2 -1/2 √3 √3/3 -2 -2√3/3
270 3π/2 -1 0 undefined 0 undefined -1
300 5π/3 -√3/2 1/2 -√3 -√3/3 2 -2√3/3
315 7π/4 -√2/2 √2/2 -1 -1 √2 -√2
330 11π/6 -1/2 √3/2 -√3/3 -√3 2√3/3 -2
360 0 1 0 undefined 1 undefined

The Laws of Trigonometric Functions

 IMAGE...

The Law of Sines

 IMAGE...

The Law of Cosines

 IMAGE...
 IMAGE...
 IMAGE...

The Trigonometric Identities

The Identities of Negative Angle

 IMAGE...
 IMAGE...
 IMAGE...
 IMAGE...
 IMAGE...
 IMAGE...

The Identities of CoFunction

 IMAGE...
 IMAGE...
 IMAGE...
 IMAGE...
 IMAGE...
 IMAGE...

The Identities of Periodicity

 IMAGE...
 IMAGE...
 IMAGE...
 IMAGE...
 IMAGE...
 IMAGE...

The Reduction Formulas of Trigonometric Functions

a sin cos tan cot sec csc
Radians α-θ α+θ α-θ α+θ α-θ α+θ α-θ α+θ α-θ α+θ α-θ α+θ
0 -sin θ sin θ cos θ cos θ -tan θ tan θ -cot θ cot θ sec θ sec θ -csc θ csc θ
π/2 cos θ cos θ sin θ -sin θ cot θ -cot θ tan θ -tan θ csc θ -csc θ sec θ sec θ
π sin θ -sin θ -cos θ -cos θ -tan θ tan θ -cot θ cot θ -sec θ -sec θ csc θ -csc θ
3π/2 -cos θ -cos θ -sin θ sin θ cot θ -cot θ tan θ -tan θ -csc θ csc θ -sec θ -sec θ
2πn -sin θ sin θ cos θ cos θ -tan θ tan θ -cot θ cot θ sec θ sec θ -csc θ csc θ

The Identities of Angle Sum and Difference

 IMAGE...
 IMAGE...
 IMAGE...
 IMAGE...
 IMAGE...
 IMAGE...

The Pythagorean identity

 IMAGE...

The Identities of Double Angle

 IMAGE...
 IMAGE...
 IMAGE...

The Identities of Half Angle

 IMAGE...
 IMAGE...

The Product of Cosine and Sine

 IMAGE...
 IMAGE...
 IMAGE...
 IMAGE...


©sideway

ID: 100900012 Last Updated: 12/25/2011 Revision: 1

IMAGE

Home (1)

Business

Management

HBR (3)

Information

Recreation

Hobbies (7)

Culture

Chinese (1097)

English (334)

Reference (60)

Computer

Hardware (148)

Software

Application (187)

Digitization (24)

Numeric (19)

Programming

Web (538)new

CSS (1)

HTML

Knowledge Base

Common Color (1)

Html Entity (Unicode) (1)

Html 401 Special (1)

OS (366)

MS Windows

Windows10 (1)

DeskTop (5)

Knowledge

Mathematics

Formulas (8)

Number Theory (165)new

Algebra (14)

Trigonometry (18)

Geometry (18)

Calculus (67)

Engineering

Tables (8)

Mechanical

Control

Process Control (1)

Mechanics (1)

Rigid Bodies

Statics & Dynamics (129)new

Fluid (5)

Fluid Kinematics (5)

Acoustics (19)

FiniteElement (2)

Biology (1)

Geography (1)


facebook
Latest Updated Links

Copyright © 2000-2019 Sideway . All rights reserved Disclaimersfacebook last modified on 08 Mar 2018