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Precalculus
Getting started
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Inverse trig functions
finding the value of an inverse trig function (7:35)
Polar coordinates
converting polar coordinates to rectangular (4:14)
converting rectangular coordinates to polar (5:21)
express the polar point multiple ways (6:37)
converting equations from polar to rectangular (3:37)
converting equations from rectangular to polar (4:50)
Graphing polar curves
graph the polar curve, circle (5:46)
graph the polar curve, rose (8:57)
graph the polar curve, cardioid (6:07)
graph the polar curve, limacon (7:41)
graph the polar curve, lemniscate (12:08)
intersection points of the polar curves (9:09)
graph the polar region in the xy-plane (7:17)
Parametric curves
sketching a parametric curve and its orientation (10:52)
write the equation as a parametric curve (6:33)
Analytic geometry
graph of a single point or of no points (4:13)
set of points equally distant from two points (6:35)
set of points unequally distant from two points (9:39)
eccentricity and directrix of the conic section (9:32)
vertex, axis, focus, directrix of a parabola (11:20)
equation of a parabolic conic section (3:52)
polar equation of a parabolic conic section (3:27)
vertex, axis, focus, directrix of an ellipse (13:30)
equation of an elliptical conic section (5:38)
polar equation of an elliptical conic section (4:02)
vertex, axis, focus, directrix of a hyperbola (14:47)
equation of a hyperbolic conic section (6:52)
polar equation of a hyperbolic conic section (3:17)
hyperbolic identities (4:56)
Imaginary and complex numbers
polar form of complex numbers (9:23)
multiplying complex numbers (13:33)
converting equations from polar to rectangular
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