# Search Results for “functions”

##### Even and Odd Functions With a Tangent Twist

This app allows you to visually conceptualize even and odd functions while also discovering the function of a tangent line.##### Epic Circle Trace 2

A triangle, defined by three points that are located proportionally around a circle by functions of*t*, is traced as

*t*varies from 0 to 2Π. What are the functions of t, f(

*t*), g(

*t*), and h(

*t*), that define the points D, E, and F, respectively?

*Hint: one of the functions is _(t) = t.*

##### Conveyor Belt*

This app explores a physical motion problem and its connection to trigonometric functions. (F-TF 5)##### Offcenter Cam*

This app explores a physical motion problem and its connection to trigonometric functions. (F-TF 5)##### The Cosine Function

This app allows the user to explore the relationship between the unit circle and the cosine function. (F-TF 2, 3)##### The Sine Function

This app allows the user to explore the relationship between the unit circle and the sine function. (F-TF 2, 3)##### Tangents to Polar Functions

The purple curve has polar equation r=f(θ). A lies on this curve, and B is a point at the intersection of the tangent at A with the line perpendicular to OA. The red curve is the locus of B The grey curve is the curve r=g(θ) rotated by the quantity on the slider. What function g() will rotate to lie on top of the red curve?##### Epic Circle Trace

A line passes intersects a circle at two points. Each point is located proportionally around the circle in terms of a given function of**t**. The path of the line’s movement is traced as

**t**varies. Try changing/animating

**t**. Can you figure out how each point is constrained, in terms of

**t**? Look at the gx source file for the answer.

*Hint: look at the period of the movement, and how it changes as*

**t**changes.