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| Functions
Contents - B |
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Rectangular
(Two-dimensional, Cartesian) Coordinate System |
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Coordinate axes, x-axis
and y-axis,
origin, quadrants
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Points in the
Coordinate plane |
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Midpoint of a line segment
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The distance formula
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Dividing
a line segment in a given ratio |
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The
area
of a triangle |
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The
coordinates of the centroid of a triangle |
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Lines
parallel to the axes, horizontal and vertical lines
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Polar Coordinate System
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Polar
and Cartesian coordinates relations |
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Conversion from polar
to rectangular coordinates |
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Conversion from
rectangular to polar coordinates |
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Polar coordinates of a point |
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Equation
of a line in polar form |
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Lines
parallel to the axes, horizontal and vertical lines |
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Lines
running through the origin or pole (radial lines) |
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Polar
equation
of a line |
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Equation
of a circle in polar form |
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General
equation of a circle in polar coordinates |
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Polar
equation of a circle with a center on the polar axis running
through the pole |
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Polar
equation of a circle with a center at the pole |
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Parametric Equations |
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Parametric
equations definition |
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The
parametric equations of a line |
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The
parametric equations of a line passing through two points |
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The direction of
motion of a parametric curve |
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Evaluation
of
parametric equations for given values of the parameter |
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Sketching parametric
curve |
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Eliminating the
parameter from parametric equations |
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Parametric
and rectangular forms of equations
conversions |
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The parametric equations of a
quadratic polynomial,
parabola |
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The
parametric equations of the parabola, whose axis of symmetry is parallel
to the y-axis
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The parametric equations of the
parabola, whose axis of symmetry is
parallel to the x-axis |
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The parametric equations of a
circle
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The parametric equations of a
circle
centered at the origin with radius
r |
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The parametric equations of a
translated circle with center (x0, y0) and radius r |
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The parametric equations of an
ellipse |
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The parametric equations of an
ellipse
centered at the origin |
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The parametric equations of a
translated ellipse with center at (x0, y0) |
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Parametric equations of a hyperbola
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The
parametric equations of a
hyperbola expressed by trigonometric functions |
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The
parametric equations of a hyperbola expressed by hyperbolic
functions |
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The
definition of the hyperbolic functions |
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Relations
between hyperbolic and trigonometric or circular functions |
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The
parametric equations of the equilateral or rectangular hyperbola |
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The
parametric equations of the general hyperbola |
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Use
of parametric equations example |
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Trigonometric
Functions Basics |
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Unit of measurement of
angles - a radian (the circular measure) |
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Degrees to radians and radians to degrees conversion examples |
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The unit circle or
the trigonometric circle |
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Definitions of
trigonometric functions |
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Periodicity of
trigonometric functions |
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Signs of trigonometric
functions |
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Trigonometric
functions of arcs from 0
to ±
2p
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Trigonometric
functions of negative arcs or angles |
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Trigonometric
functions of complementary angles |
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Trigonometric
functions of supplementary angles |
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Trigonometric
functions of arcs that differ on p/2 |
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Trigonometric
functions of arcs that differ on p |
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Trigonometric
functions of arcs whose
sum is 2p |
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Trigonometric
functions of angles lying on axes |
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Values of
trigonometric functions of arcs p/6, p/4 and p/3 |
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The values of the trigonometric functions of arcs that are multipliers of
30°
(p/6)
and 45°
(p/4) |
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