Title: Theory / Unimportant / CS / Algo / Graphics / Fundamentals -Shirley Marschner{ / 02 Math / 3 Trigonometry
Tags: récupéré

Name: Half-line
Definition: infinite rays stemming from an origin
Page: 18
Chapter: 2
Section: 3

Name: The angle between \(d_1\) and \(d_2\)
Definition: The length of the arc segment on which \(d_1\) and \(d_2\) cuts out on the unit circle.
Page: 18
Chapter: 2
Section: 3
Variables: \(d_1,d_2\) two direction
Definition2: The sens is decided by the order in which direction are given

Smaller0: radian
Greater0: degrees
Page: 18
Chapter: 2
Section: 3
Smaller to greater: =\(\frac{\pi}{180}\)
Greater to smaller: =\(\frac{180}{\pi}\)

Name: Hypothenuse
Definition: The longest side of a right triangle
Page: 18
Chapter: 2
Section: 3.2

Name: Pythagorean theorem
Definition: \(h^2=a_1^2+a_2^2\) with \(h\) the length of the hypothenuses and \(a_i\) the length of the other sides
Page: 18
Chapter: 2
Section: 3.2

Name: \(\sin\phi\)
Definition: \(o/h\)
Page: 18
Chapter: 2
Section: 3.2
Variables: \(T\) a right triangle,
\(\phi\) a measure of an angle
\(a\) the size of the adjacent side
\(o\) the size of the opposite side
\(h\) the size of the hypothenuse

Name: \(\sin\phi\)
Definition: \(h/o\)
Page: 18
Chapter: 2
Section: 3.2
Variables: \(T\) a right triangle,
\(\phi\) a measure of an angle
\(a\) the size of the adjacent side
\(o\) the size of the opposite side
\(h\) the size of the hypothenuse

Name: \(\sec\phi\)
Definition: \(h/a\)
Page: 18
Chapter: 2
Section: 3.2
Variables: \(T\) a right triangle,
\(\phi\) a measure of an angle
\(a\) the size of the adjacent side
\(o\) the size of the opposite side
\(h\) the size of the hypothenuse

Name: \(\cos\phi\)
Definition: \(a/h\)
Page: 18
Chapter: 2
Section: 3.2
Variables: \(T\) a right triangle,
\(\phi\) a measure of an angle
\(a\) the size of the adjacent side
\(o\) the size of the opposite side
\(h\) the size of the hypothenuse

Name: \(\cot\phi\)
Definition: \(a/o\)
Page: 18
Chapter: 2
Section: 3.2
Variables: \(T\) a right triangle,
\(\phi\) a measure of an angle
\(a\) the size of the adjacent side
\(o\) the size of the opposite side
\(h\) the size of the hypothenuse

Name: \(\tan\phi\)
Definition: \(o/a\)
Page: 18
Chapter: 2
Section: 3.2
Variables: \(T\) a right triangle,
\(\phi\) a measure of an angle
\(a\) the size of the adjacent side
\(o\) the size of the opposite side
\(h\) the size of the hypothenuse

Name: Polar coordinate in \((-\pi,\pi]\)
Definition: distance from the origin
Page: 18
Chapter: 2
Section: 3.2
Definition2: signed angle relative to the positive \(x\)-axis
Conjdef: both
DefType: Coding a point as

Smaller0: \(0<\theta<\pi\)
Greater0: \(\theta\) is in the upper part of the plane
Page: 18
Chapter: 2
Section: 3.2
Variables: \(p\) a point in the plane
\(\theta\) its angle in polar coordinate
Smaller to greater: iff

Smaller0: \(-\pi<\theta<0\)
Greater0: \(\theta\) is in the lower part of the plane
Page: 18
Chapter: 2
Section: 3.2
Variables: \(p\) a point in the plane
\(\theta\) its angle in polar coordinate
Smaller to greater: iff