Chapter 4-6: Sin, Cos, and Tan Functions

Graphs of trig functions are the “unwrapping” of the circle in the coordinate plane.

The sine function is all the y-coordinates all the way around the circle.

Trig Functions:

Sine Function:

1

-1

-π -π/2-2π -3π/2 π/2 π 3π/2 2π

Y-intercept?

x-intercepts?

Period?

Max and Min?

Domain?

Range?

This is an ODD function: A function with 180° symmetry about the origin.

Cosine Function:

1

-1

-π -π/2-2π -3π/2 π/2 π 3π/2 2π

Max and Min?

Domain?

Range?

Y-intercept?

X-intercepts?

Period?

This is an EVEN function: A function with Reflection symmetry over the y-axis.

Question: Does anyone notice any relationship between the graphs of the Sine and Cosine Functions?

Tangent Function:

1

-1

-π -π/2-2π -3π/2 π/2 π 3π/2 2π

Max and Min?

Domain?

Range?

Y-intercept?

X-intercepts?

Period?

Question: Is this an Even or an Odd Function? Or Neither???