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    Hi! START HERE: Course overview
  • Урок 2. 00:01:02
    Introduction to angles
  • Урок 3. 00:08:25
    Naming angles
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    Complementary and supplementary angles
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    Positive and negative angles
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    Quadrant of the angle
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    Degrees, radians, and DMS
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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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    Signs by quadrant
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    When the trig functions are undefined
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    Introduction to the unit circle
  • Урок 17. 00:13:28
    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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    Radians and arc length
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    Area of a circular sector
  • Урок 30. 00:04:45
    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
  • Урок 34. 00:16:56
    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
  • Урок 38. 00:10:46
    Horizontal and vertical shifts
  • Урок 39. 00:14:45
    Graphing transformations
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    Graphing combinations
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    Introduction to inverse trig functions
  • Урок 42. 00:09:52
    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
  • Урок 46. 00:05:44
    Sum-difference identities for sine and cosine
  • Урок 47. 00:05:44
    Cofunction identities
  • Урок 48. 00:04:08
    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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    Matrix addition and subtraction
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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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