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Warm-Up: January 13, 2014

Warm-Up: January 13, 2014. Consider θ =60˚ Convert θ into radians Find the complement of θ , expressed in both degrees and radians Find the supplement of θ , expressed in both degrees and radians Find two angles that are coterminal to θ , expressed in both degrees and radians.

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Warm-Up: January 13, 2014

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  1. Warm-Up: January 13, 2014 • Consider θ =60˚ • Convert θ into radians • Find the complement of θ, expressed in both degrees and radians • Find the supplement of θ, expressed in both degrees and radians • Find two angles that are coterminal to θ, expressed in both degrees and radians

  2. Warm-Up: January 13, 2014 • Consider θ =60˚ • Convert θ into radians • complement of θ: • supplement of θ: • two angles coterminal to θ:

  3. Homework Questions

  4. Trigonometric Functions: The Unit Circle Section 4.2

  5. Unit Circle • A unit circle is a circle with radius = 1 • The center of a unit circle is at the origin of a rectangular coordinate system (x-y plane) • The equation of a unit circle is • The point on the unit circle at angle θ corresponds to sine and cosine of θ

  6. Assignment • Unit Circle Quiz Practice

  7. All Students Take Calculus S A T C

  8. The Six Trigonometric Functions

  9. Trig Function Relationships

  10. Example 1 • Determine the value of the six trigonometric functions of 240˚. You may not use a calculator.

  11. Warm-Up: January 14, 2014You-Try #1 • Determine the value of the six trigonometric functions of 135˚. You may not use a calculator.

  12. Homework Questions?

  13. Example 2 • Determine the value of the six trigonometric functions of 3π/2. You may not use a calculator.

  14. You-Try #2 • Determine the value of the six trigonometric functions of π. You may not use a calculator.

  15. Pythagorean Identities • Using and we can get the following identities.

  16. Example 6 • Given that and find the value of the rest of the trigonometric functions

  17. You-Try #6 • Given that and find the value of the rest of the trigonometric functions

  18. Assignments Page 450: • #1-25 Every Other Odd, • #27 • #39a-45a ODD • No calculators!

  19. Trig Functions Values Table

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