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Explore parametric equations in this comprehensive 37-minute video tutorial. Learn the definition of parametric equations and curved planes, with illustrations and examples. Understand the relationship between t and functions, and practice graphing using x, y, and t coordinates. Delve into graphing trigonometric functions and explore the unit circle in parametric form. Master the conversion from parametric to rectangular form and vice versa. Solve problems involving sine and cosine functions, and discover how to find parametric equations for given graphs. Gain a solid foundation in precalculus concepts related to parametric equations through clear explanations and practical examples.
Syllabus
Definition parametric equation.
Definition curved plane.
Illustration curved plane.
Example rectangular equation.
Define t and relationship with functions.
Problem 1 includes graphing a function using x,y, and t.
Graphing a trig function.
Unit circle in parametric form.
Parametric back to rectangular.
Problems with sine and cosine.
Rectangular written in parametric form-finding parametric equations for a graph.
Taught by
MooMooMath and Science