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Warm up
Chapter 6
Analytic Trigonometry
- Fundamental Trigonometric
Identities
Language Objectives: We will learn about the More of Trigonometric
Functions by complete worksheet 12D.
Reciprocal identities
List the following identities:
Draw a circle centered at the origin.
Then draw a radius of the circle and the right triangle
that it forms with the x-axis. Label the sides x, y, and r (x
is the base, y is the height, and r is the radius).
Can you write the equation of the circle?
Then have the student divide both sides of the equation
by
Now write the definition of sine and cosine
of the reference angle.
Then square both definitions.
Last, substitute these into the modified circle
equation.
What do you see?
Pythagorean identities:
Evaluate these expressions on your
calculator.
What happen with the answers?
Even-Odd Identities
What kind of functions are sine,
cosine, and tangent?
Even or odd?
What kind of functions are sine,
cosine, and tangent?
Even or odd?
sine is odd; cosine is even; tangent is odd
Exit directions 
Do: By yourself complete the Worksheet 12D.
Put: In box No. of your period
Finish By: BY THE END OF THE PERIOD
When done do: STUDY FOR TOMORROW QUIZ.