Warm up

- Fundamental Trigonometric Identities

Chapter 6 Analytic Trigonometry

Language Objectives: We will learn about the More of Trigonometric Functions by complete worksheet 12D.

Reciprocal identitiesReciprocal 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? What happen with the answers?

Even-Odd Identities

What kind of functions are sine, cosine, and tangent?

Even or odd?Even or odd?

What kind of functions are sine, cosine, and tangent?

Even or odd?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.