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# XI. Animations

# Animation: Graphing Polar Equations

This video shows the animation of the graphs of several polar equations.

# Animation: Comparing Polar and Rectangular Coordinates

This animation compares points plotted using polar and rectangular coordinates.

# Animation: Inverse Function

Illustrates why a function must be one-to-one in order to have an inverse function.

# Animation: Inverse Sine, Inverse Cosine, and Inverse Tangent

Illustrates why the domain of sine, cosine, and tangent must be restricted to determine their inverses.

# Animation: Transformations of the Sine Function

This video illustrates how changing the values of A, B, C, and D affect the graph of y = Asin(B(x – D)) + C.

# Animation: The graphs of f(x), f'(x), and f”(x)

This video illustrated the graph of a function, its first derivative, and second derivative.