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Warm-Up 4/1

Warm-Up 4/1. Fill in chart. 0. 0. 1. – 1 . 0. 1. 0. – 1 . 0. undefined. 0. undefined. (0, 1). (1, 0). (– 1, 0). (0, – 1).

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Warm-Up 4/1

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  1. Warm-Up 4/1 Fill in chart. 0 0 1 – 1 0 1 0 – 1 0 undefined 0 undefined (0, 1) (1, 0) (– 1, 0) (0, – 1)

  2. Rigor:You will learn how to evaluate and determine sign of trig functions using the Unit Circle.Relevance:You will be able to solve real world problems using the Unit Circle.

  3. Trig 4 The Unit Circle

  4. The Unit Circle.

  5. Unit Circle: a circle of radius 1 centered at the origin in the xy-plane.

  6. 1 x 1 x x

  7. 0 1 90 60 120 135 45 150 30 1 0 – 1 0 180 0 360 210 330 225 315 240 300 270 0 – 1

  8. Unit Circle Draw in triangles to find the coordinates for each point on the unit circle. (x, y) 1 1 1 45 60 30

  9. Numerator always 1 less than denominator Numerator always 1 Numerator always 1 more than denominator Numerator always twice denominator minus one

  10. Example 1: Find the exact value of each expression. If not defined, write undefined. • sin b. cos c. tan

  11. Periodic Functions A function y = f(t) is periodic if there exist a positive real number c such that f(t + c) = f(t) for all values of t in the domain of t. The smallest number c for which f is periodic is called the period of t.

  12. Example 2: Find the exact value of each expression. • cos b. sin() c. tan

  13. Assignment: Trig 4 WS 4-3 SGI, 1-8 all I have 11th grade Pert Scores. The Spring SAT Crash Course When: April 9-10 and April 16-17 Time: 2:30-5:30 Where: Media Center Cost: $10 Register: 3-207, by April 8.

  14. 7th Warm-Up 4/1 Find the exact values for each expression. 1. sin 60° 2. cos 3. tan 30°

  15. Numerator always 1 less than denominator Numerator always 1 Numerator always 1 more than denominator Numerator always twice denominator minus one

  16. Example 1: Find the exact value of each expression. If not defined, write undefined. • sin b. cos c. tan

  17. Periodic Functions A function y = f(t) is periodic if there exist a positive real number c such that f(t + c) = f(t) for all values of t in the domain of t. The smallest number c for which f is periodic is called the period of t.

  18. Example 2: Find the exact value of each expression. • cos b. sin() c. tan

  19. Assignment: Trig 4 WS 4-3 SGI, 1-8 all I have 11th grade Pert Scores. The Spring SAT Crash Course When: April 9-10 and April 16-17 Time: 2:30-5:30 Where: Media Center Cost: $10 Register: 3-207, by April 8.

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