distance from the center 17 videos
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The Circle
Precalculus Conic Sections
How to use the distance formula to derive the equation for a circle.
circle center radius distance formula equation for a circle -
The Circle
Precalculus Equations of Lines, Parabolas and Circles
How to use the distance formula to derive the equation for a circle.
circle center radius distance formula equation for a circle -
The Distance Formula in Polar Coordinates
Precalculus Polar Coordinates and Complex Numbers
How to derive the distance formula for polar coordinates.
polar coordinates the law of cosines triangles -
Applied Linear Equations: Distance Problem
Precalculus Linear Equations and Inequalities
How to find the speed of transit when the time of two different legs is known.
distance rate time word problem -
The Midpoint and Distance Formulas in 3D
Precalculus Vectors and Parametric Equations
How to derive the formula for the midpoint of a segment in three dimensions.
position vectors the vector from point a to point b the midpoint formula vector addition scalar multiplication -
Converting Complex Numbers From Rectangular Form to Trigonometric
Precalculus Polar Coordinates and Complex Numbers
How to convert a complex number from rectangular form to trigonometric form.
complex numbers rectangular form trigonometric form modulus argument -
Converting from Rectangular Coordinates to Polar
Precalculus Polar Coordinates and Complex Numbers
How to convert the rectangular coordinates of a point into polar coordinates.
polar coordinates rectangular coordinates Pythagorean theorem sine cosine tangent -
Converting from Polar Coordinates to Rectangular
Precalculus Polar Coordinates and Complex Numbers
How to convert a polar equation into rectangular form.
polar coordinates rectangular coordinates polar equations lines circles Pythagorean theorem sine cosine tangent -
Transformations of a Hyperbola
Precalculus Conic Sections
How to transform the graph of a hyperbola.
transformation hyperbola center -
Conic Section Formulas
Precalculus Conic Sections
How to identify a conic section by its formula.
parabola circle ellipse hyperbola center focus -
Parametrizing a Circle
Precalculus Vectors and Parametric Equations
How to write the parametric equations of a circle centered at (0,0) with radius r, oriented counter-clockwise.
the unit circle cosine sine parametrization parametric equations circle counter clockwise -
The Cosine Addition Formulas
Precalculus Advanced Trigonometry
How to derive the cosine of a difference formula.
the unit circle the law of cosines the distance formula cosine of a difference formula -
Introduction to the 3D Coordinate System
Precalculus Vectors and Parametric Equations
How to define the components and length of a position vector in three dimensions.
axes coordinates position vector components magnitude length distance origin -
Parametrizing a Line Segment
Precalculus Vectors and Parametric Equations
How to write the parametric equations of a line segment that goes from point A to point B.
vector equation line segment parametric equations -
Introduction to Polar Coordinates
Precalculus Polar Coordinates and Complex Numbers
How to describe a point's location with polar coordinates, and how to convert from polar coordinates to rectangular coordinates.
polar axis pole origin coordinates rectangular coordinates polar coordinates coordinate system Pythagorean theorem sine cosine tangent -
The Euler Formula
Precalculus Polar Coordinates and Complex Numbers
How to use the Euler Formula to convert a complex number from the exponential form to rectangular form.
complex numbers trigonometric form Euler formula e sine cosine modulus argument -
Families of Polar Curves: Circles, Cardiods, and Limacon
Precalculus Polar Coordinates and Complex Numbers
How to graph the special cases of the family r = a + b cos (theta) when a or b = 0.
polar graph polar equation polar curve circles center radius completing the square
