Trigonometry of right triangles

Keywords: Trigonometry of right triangles

Trigonometry of right triangles

s i n α = \frac{a}{c}, c o s α = \frac{b}{c}, t g α = \frac{b}{a}

α

0°

30°

45°

60°

90°

120°

135°

150°

180°

210°

225°

240°

270°

300°

315°

330°

360°

α

0

\frac{π}{6}

\frac{π}{4}

\frac{π}{3}

\frac{π}{2}

\frac{2 π}{3}

\frac{3 π}{4}

\frac{5 π}{6}

π

\frac{7 π}{6}

\frac{5 π}{4}

\frac{4 π}{3}

\frac{3 π}{2}

\frac{5 π}{3}

\frac{7 π}{4}

\frac{11 π}{6}

2 π

s i n α

0

\frac{1}{2}

\frac{\sqrt{2}}{2}

\frac{\sqrt{3}}{2}

1

\frac{\sqrt{3}}{2}

\frac{\sqrt{2}}{2}

\frac{1}{2}

0

- \frac{1}{2}

- \frac{\sqrt{2}}{2}

- \frac{\sqrt{3}}{2}

- 1

- \frac{\sqrt{3}}{2}

- \frac{\sqrt{2}}{2}

- \frac{1}{2}

0

c o s α

1

\frac{\sqrt{3}}{2}

\frac{\sqrt{2}}{2}

\frac{1}{2}

0

- \frac{1}{2}

- \frac{\sqrt{2}}{2}

- \frac{\sqrt{3}}{2}

- 1

- \frac{\sqrt{3}}{2}

- \frac{\sqrt{2}}{2}

- \frac{1}{2}

0

\frac{1}{2}

\frac{\sqrt{2}}{2}

\frac{\sqrt{3}}{2}

1

t g α

0

\frac{\sqrt{3}}{3}

1

\sqrt{3}

-

- \sqrt{3}

- 1

- \frac{\sqrt{3}}{3}

0

\frac{\sqrt{3}}{3}

1

\sqrt{3}

-

- \sqrt{3}

- 1

- \frac{\sqrt{3}}{3}

0

c t g α

-

\sqrt{3}

1

\frac{\sqrt{3}}{3}

0

- \frac{\sqrt{3}}{3}

- 1

- \sqrt{3}

-

\sqrt{3}

1

\frac{\sqrt{3}}{3}

0

- \frac{\sqrt{3}}{3}

- 1

- \sqrt{3}

-

Trigonometry
Law of Sines
Law of Cosines
Trygonometry Identities of same angle
Identities for the sum and difference of two angles
Trigonometric identities of double angles
Trigonometric identities of half angles
Sum and difference of trigonometric functions
Trigonometry of right triangles
Two-dimensional geometric shapes
Basic Proportionality Theorem
Triangle
Special Triangles - Right Triangle, Equilateral Triangles, Isosceles Triangles
Quadrilateral
Squere
Rectangle
Rhombus
Parallelogram
Kite
Trapezoid
Circle
Circular sector
Circular segment
Three-dimensional geometric shapes
Cube
Sphere
Cone
Prism
Pyramide
Platonic solids
Cylinder
Vectors
Scalar Product of Vectors
Vector Product of Vectors
Analytical Geometry 2D
Distance between two points
Circle
Linear equation
Ellipse