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Introduction to Trigonometric Functions

Ferris Wheel Crane
Sine Function Box Cosine Function Box
Tangent Function Box Six Trig Functions
The graph of y=sin x The graph of y=cos x
The graph of y=tan t Graph of y=sin ax
Graph of y=A sin (Bx-C)

Equalities and Inequalities

sin t = a cos t = a
sin t > a (1) sin t > a (2)
cos t > a (1) cos t > a (2)

Further Trigonometric Functions

Graph of y=sin x + cos x a sin x + b cos x
sin(A+B) Fourier Series
cosine engine

Triangles

Law of Sines The Law of Cosines(1)
The Law of Cosines(2)

Basics of Vector

Sum of Vectors Subtraction of Vector
Probem of Regular Hexagon Midpoint of Side of Quadrilateral and Parallelogram
Division Vector Circle of Apolonius
Vector and field(1) Vector and field(2)
Linearly Independent of Vector Intersection Point of Vector
Vector Equation of Line Vector and Circle
Unit Vector Angle Bisector
Ceva's Theorem Menelaus's Theorem
Cramer's rule Distributive Law for Alternate Product
Euler Line

Inner Product (Dot Product)

The Area of a Parallelogram (1) The Area of a Parallelogram (2)
Inner Products Line and Dot product
Commutative Law for Inner Product Distributive Law for Inner Product
Problem of Dot(Inner) Product Locus of Dot(Inner) Product=const.

Vector in 3D

Vector Equation of Line in 3D Equation of Plane

Angles and Parallel Lines

Angles and Parallel Lines Problem of Angles and Parallel Lines(1)
Problem of Angles and Parallel Lines(2) The Sum of Three Angles of a Triangle
Angle trisector The Sum of Outer Angles of a Polygon
Polygon Creator Regular m/n-Polygon

Congruent Figures and Triangles

Congruent Triangles Finding angles(1)
Finding angles(2) Congruent triangles(1)
Congruent triangles(2) Congruent triangles(3)
Congruent triangles(4) Sum of three segments
Folding Tape Two Squares(1)
Two regular triangles Two Squares(2)
Congruent Transformation

Quadrilaterals and Conservation of Area

Parallelogram Two tapes
Horizontal Machine Problem about Quadrilateral
Problem about Parallelogram Conservation of Area
Transformation of a Triangle Dividing Triangle
Changing Border Line Transformation of a Pentagon
Dividing a Quadrilateral

Similar Figures

Enlargement of Figures Similar Figure
Similar Triangles Pantograph
Height of the Pole Shadow of a Square
Dividing a Square Midpoint
Parallel line and ratio Two Squares

Circles

Inner Center Common Tangents
Inscribed Angles Ruler
Quoits Root x
Problem of Two Circles(1) Problem of Two Circles(2)
Problem of Two Circles(3) Problem of Two Circles(4)
Inscribed Quadrilateral Application of Alternate Segment Theorem
Two Regular Triangle and Locus Problem of Maximum Angle(1)
Problem of Maximum Angle(2) Simson's Law
Eye Ball Theorem Three Tangent Lines
Peaucellier Apparatus Salinon(Salt-cellar)

Pythagorean Theorem

Pythagorean Theorem(1) Pythagorean Theorem(2)
Pythagorean Theorem(3) Pythagorean Theorem(4)
Pythagorean Theorem(5) Pythagorean Theorem(6)
Pythagorean Theorem(7) Pythagorean Theorem(8)
Hyppocrates' lunar Minimum Distance
Shortest Distance Quadrangular Pyramid (1)
Quadrangular Pyramid (2) Pythagoras Tree
Origami Two Poles