Trigonometry Special Angles

Home Algebra Geometry Mathematical analysis Probability and Statistics

Szögfüggvények derékszögű háromszögben

s i n α = a c ,     c o s α = b c ,     t g α = b a
0° 30° 45° 60° 90° 120° 135° 150° 180° 210° 225° 240° 270° 300° 315° 330° 360°
α=0°=2π
Trigonometry Special Angles
sin 0°
cos 0°
tg 0°
ctg 0°
0
1
0
+∞
0° 30° 45° 60° 90° 120° 135° 150° 180° 210° 225° 240° 270° 300° 315° 330° 360°
α=30°=π6
Trigonometry Special Angles
sin 30°
cos 30°
tg 30°
ctg 30°
1 2
3 2
3 3
3
0° 30° 45° 60° 90° 120° 135° 150° 180° 210° 225° 240° 270° 300° 315° 330° 360°
α=45°=π4
Trigonometry Special Angles
sin 45°
cos 45°
tg 45°
ctg 45°
2 2
2 2
1
1
0° 30° 45° 60° 90° 120° 135° 150° 180° 210° 225° 240° 270° 300° 315° 330° 360°
α=60°=π3
Trigonometry Special Angles
sin 60°
cos 60°
tg 60°
ctg 60°
3 2
1 2
3
3 3
0° 30° 45° 60° 90° 120° 135° 150° 180° 210° 225° 240° 270° 300° 315° 330° 360°
α=90°=π2
Trigonometry Special Angles
sin 90°
cos 90°
tg 90°
ctg 90°
1
0
+∞
0
0° 30° 45° 60° 90° 120° 135° 150° 180° 210° 225° 240° 270° 300° 315° 330° 360°
α=120°=2π3
Trigonometry Special Angles
sin 120°
cos 120°
tg 120°
ctg 120°
3 2
− 1 2
− 3
− 3 3
0° 30° 45° 60° 90° 120° 135° 150° 180° 210° 225° 240° 270° 300° 315° 330° 360°
α=135°=3π4
Trigonometry Special Angles
sin 135°
cos 135°
tg 135°
ctg 135°
2 2
− 2 2
− 1
− 1
0° 30° 45° 60° 90° 120° 135° 150° 180° 210° 225° 240° 270° 300° 315° 330° 360°
α=150°=5π6
Trigonometry Special Angles
sin 150°
cos 150°
tg 150°
ctg 150°
1 2
− 3 2
− 3 3
− 3
0° 30° 45° 60° 90° 120° 135° 150° 180° 210° 225° 240° 270° 300° 315° 330° 360°
α=180°=π
Trigonometry Special Angles
sin 180°
cos 180°
tg 180°
ctg 180°
0
− 1
0
-∞
0° 30° 45° 60° 90° 120° 135° 150° 180° 210° 225° 240° 270° 300° 315° 330° 360°
α=210°=7π6
Trigonometry Special Angles
sin 210°
cos 210°
tg 210°
ctg 210°
− 1 2
− 3 2
3 3
3
0° 30° 45° 60° 90° 120° 135° 150° 180° 210° 225° 240° 270° 300° 315° 330° 360°
α=225°=5π4
Trigonometry Special Angles
sin 225°
cos 225°
tg 225°
ctg 225°
− 2 2
− 2 2
1
1
0° 30° 45° 60° 90° 120° 135° 150° 180° 210° 225° 240° 270° 300° 315° 330° 360°
α=240°=4π3
Trigonometry Special Angles
sin 240°
cos 240°
tg 240°
ctg 240°
− 3 2
− 1 2
3
3 3
0° 30° 45° 60° 90° 120° 135° 150° 180° 210° 225° 240° 270° 300° 315° 330° 360°
α=270°=3π2
Trigonometry Special Angles
sin 270°
cos 270°
tg 270°
ctg 270°
− 1
0
-∞
0
0° 30° 45° 60° 90° 120° 135° 150° 180° 210° 225° 240° 270° 300° 315° 330° 360°
α=300°=5π3
Trigonometry Special Angles
sin 300°
cos 300°
tg 300°
ctg 300°
− 3 2
1 2
− 3
− 3 3
0° 30° 45° 60° 90° 120° 135° 150° 180° 210° 225° 240° 270° 300° 315° 330° 360°
α=315°=7π4
Trigonometry Special Angles
sin 315°
cos 315°
tg 315°
ctg 315°
− 2 2
2 2
− 1
− 1
0° 30° 45° 60° 90° 120° 135° 150° 180° 210° 225° 240° 270° 300° 315° 330° 360°
α=330°=11π6
Trigonometry Special Angles
sin 330°
cos 330°
tg 330°
ctg 330°
− 1 2
3 2
− 3 3
− 3

Keywords: Trigonometry of right triangles
Home Algebra Geometry Mathematical analysis Probability and Statistics
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 Special Angles
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

Trigonometry Special Angles