Functions Contents - B
Rectangular (Two-dimensional, Cartesian) Coordinate System
oordinate axes, x-axis and y-axis, origin, quadrants
Points in the Coordinate plane

Dividing a line segment in a given ratio
The area of a triangle
The coordinates of the centroid of a triangle

Polar and Cartesian coordinates relations
Conversion from polar to rectangular coordinates
Conversion from rectangular to polar coordinates
Polar coordinates of a point
Equation of a line in polar form
Lines parallel to the axes, horizontal and vertical lines
Lines running through the origin or pole (radial lines)
Polar equation of a line
Equation of a circle in polar form
General equation of a circle in polar coordinates
Polar equation of a circle with a center on the polar axis running through the pole
Polar equation of a circle with a center at the pole
Parametric Equations
Parametric equations definition
The parametric equations of a line
The direction of motion of a parametric curve
Evaluation of parametric equations for given values of the parameter
Sketching parametric curve
Eliminating the parameter from parametric equations

The parametric equations of a quadratic polynomial, parabola
The parametric equations of the parabola, whose axis of symmetry is parallel to the y-axis
The parametric equations of the parabola, whose axis of symmetry is parallel to the x-axis

The parametric equations of a translated circle with center (x0, y0) and radius r
The parametric equations of an ellipse
The parametric equations of an ellipse centered at the origin
The parametric equations of a translated ellipse with center at (x0, y0)
Parametric equations of a hyperbola
The parametric equations of a hyperbola expressed by trigonometric functions
The parametric equations of a hyperbola expressed by hyperbolic functions
The definition of the hyperbolic functions
Relations between hyperbolic and trigonometric or circular functions
The parametric equations of the equilateral or rectangular hyperbola
The parametric equations of the general hyperbola
Use of parametric equations example
Trigonometric Functions Basics
Unit of measurement of angles - a radian (the circular measure)
The unit circle or the trigonometric circle
Definitions of trigonometric functions
Periodicity of trigonometric functions
Signs of trigonometric functions
0 to ± 2p
Trigonometric functions of negative arcs or angles
Trigonometric functions of complementary angles
Trigonometric functions of supplementary angles
p/2
p
2p
Trigonometric functions of angles lying on axes
p/6, p/4 and p/3
30° (p/6) and 45° (p/4)