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Hi! START HERE: Course overview
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Introduction to angles
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Naming angles
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Complementary and supplementary angles
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Positive and negative angles
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Coterminal angles
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Introduction to the six trig functions
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Sine, cosine, and tangent
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Cosecant, secant, cotangent, and the reciprocal identities
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The quotient identities
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The Pythagorean identities
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When the trig functions are undefined
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Introduction to the unit circle
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The unit circle
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Negative angles and angles more than one rotation
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Coterminal angles in a particular interval
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Reference angles
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Symmetry across axes
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Even-odd identities
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The set of all possible angles
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Points not on the unit circle
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Solving right triangles
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Angles of elevation and depression
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Introduction to angles in circles
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Area of a circular sector
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Trig functions of real numbers
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Linear and angular velocity
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Relating linear and angular velocity
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Introduction to graphing trig functions
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Sketching sine and cosine
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Sketching cosecant and secant
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Period and amplitude
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Sketching tangent and cotangent
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Horizontal and vertical shifts
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Graphing transformations
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Graphing combinations
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Introduction to inverse trig functions
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Inverse trig relations
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Inverse trig functions
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Trig functions of inverse trig functions
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Introduction to trig identities
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Sum-difference identities for sine and cosine
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Cofunction identities
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Sum-difference identities for tangent
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Double-angle identities
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Half-angle identities
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Product-to-sum identities
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Sum-to-product identities
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Proving the trig equation
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Complete solution set of the equation
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Introduction to the law of sines and law of cosines
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Law of sines
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The ambiguous case of the law of sines
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Area from the law of sines
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Law of cosines
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Heron's formula
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Converting polar coordinates to rectangular
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Converting rectangular coordinates to polar
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Express the polar point multiple ways
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Converting equations from polar to rectangular
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Converting equations from rectangular to polar
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Graph the polar curve, circle
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Graph the polar curve, rose
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Graph the polar curve, cardioid
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Graph the polar curve, limacon
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Graph the polar curve, lemniscate
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Intersection points of the polar curves
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Graph the polar region in the xy-plane
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Sketching a parametric curve and its orientation
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Write the equation as a parametric curve
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Graph of a single point or of no points
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Set of points equally distant from two points
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Set of points unequally distant from two points
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Eccentricity and directrix of the conic section
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Vertex, axis, focus, directrix of a parabola
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Equation of a parabolic conic section
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Polar equation of a parabolic conic section
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Vertex, axis, focus, directrix of an ellipse
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Equation of an elliptical conic section
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Polar equation of an elliptical conic section
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Vertex, axis, focus, directrix of a hyperbola
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Equation of a hyperbolic conic section
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Polar equation of a hyperbolic conic section
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Hyperbolic identities
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Complex numbers
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Complex number operations
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Graphing complex numbers
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Distances and midpoints
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Complex numbers in polar form
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Multiplying and dividing polar forms
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Powers of complex numbers and De Moivre's theorem
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Complex number equations
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Roots of complex numbers
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Matrix dimensions and entries
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Representing systems with matrices
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Simple row operations
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Gauss-Jordan elimination and reduced row-echelon form
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Scalar multiplication and zero matrices
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Matrix multiplication
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Identity matrices
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Transformations
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Matrix inverses, and invertible and singular matrices
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Solving systems with inverse matrices
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Solving systems with Cramer's rule
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Wrap-up
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