What do these pairs have in common? sin and sin -1 + and - ÷ and cos and cos -1 tan and tan -1.
Chapter 4-6: Sin, Cos, and Tan Functions
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Transcript of Chapter 4-6: Sin, Cos, and Tan Functions
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???