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Take out a sheet of paper for the short quiz.

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Presentation on theme: "Take out a sheet of paper for the short quiz."— Presentation transcript:

1 Take out a sheet of paper for the short quiz.
Students, Take out your calendar and your homework. Take out your spiral notebook and Complete the DNA. Use your notes if necessary. Take out a sheet of paper for the short quiz. Write your name in the upper right hand corner. Title the paper “Quiz 11/14/11” Number your paper #1-9 down the left side (Do not skip any lines)

2 Complete each trigonometric identity. Complete each identity.
Quiz 11/14/11 – Write the answers only. Complete each trigonometric identity. Complete each identity.

3 Guidelines for Verifying Identities
1. Start with the most complicated side of the equation. 2. Factor an expression, add fractions, square a binomial, or create s monomial denominator, if possible. 3. Use the fundamental identities, whenever possible. 4. Convert all terms to sines and cosines. 5. Always try something. Guidelines for Verifying Identities

4 Example: Verify Identity
Verify the identity Start with the more complicated side. Pythagorean Identity Simplify. Reciprocal Identity Quotient Identity Simplify. Example: Verify Identity

5 Graphing Utility: Verify Identity
Verify the identity Identical Values Table: Identical Graphs –2 2 –0.5 1.5 –2 2 –0.5 1.5 Graph: Graphing Utility: Verify Identity

6 Example: Verify Identity
Verify the identity Pythagorean Identity Reciprocal Identity Rule of Exponents Quotient Identity Example: Verify Identity

7 Verify each identity algebraically.
Then check graphically.

8 Factor each trig expression.

9 Example

10 Verify the identity.

11

12 Linear and Angular Speed
2) The circular blade on a saw rotates at 2400 revolutions per minute. Find the angular speed in radians per second. The blade has a radius of 4 inches. Find the linear speed of a blade tip in inches per second.


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