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13-2 Angles & the Unit Circle Day 1

13-2 Angles & the Unit Circle Day 1. Today’s Objective: I can work with angles in standard position. The blue arrow is fixed to the x -axis. Turn the red arrow counterclockwise about the origin.

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13-2 Angles & the Unit Circle Day 1

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  1. 13-2Angles & the Unit CircleDay 1 Today’s Objective: I can work with angles in standard position.

  2. The blue arrow is fixed to the x-axis. Turn the red arrow counterclockwise about the origin. If the red arrow contains one of the points when it stops, which point would create the angle with the greatest measure? Explain your reasoning (0, 1), (2, 2), (-3, 3), (-1, 0), or (5, 5) Angle on coordinate plane in standard position: Vertex on origin One ray of angle is on positive x-axis Terminal side + Initial side –

  3. What are the measures of each angle? Sketch each angle in standard position

  4. Which angles are coterminal? AB CD Coterminal angles angles that have the same terminal side Which coterminal angle is between and ? Which angles are coterminal? ABCD Which coterminal angle is between and ?

  5. Review: Special Right Triangles p. 835:1-7 odds p. 840:7-25 odds, 64-66 30o 45o 45o 60o

  6. WE LOVE MATH!! Angles & the Unit CircleDay 2 Today’s Objective: I can find the coordinates of points on the unit circle.

  7. Unit Circle: Radius = 1 SOH CAH TOA For any angle in standard position y (0, 1) 1 x Always draw a right triangle with one leg on x-axis (-1, 0) (1, 0) (0, -1)

  8. Special Right Triangles 30o 45o 45o 60o

  9. Angle: 60o Angle: 30o y y (0, 1) (0, 1) 1 1 60o 30o x x (-1, 0) (-1, 0) (1, 0) (1, 0) Draw a right triangle with one leg on x-axis (0, -1) (0, -1)

  10. Angle: 45o Angle: 120o y y (0, 1) (0, 1) 1 120o 60o 1 x x 45o (-1, 0) (-1, 0) Draw a right triangle with one leg on x-axis (1, 0) (1, 0) (0, -1) (0, -1)

  11. Complete Unit Circle Points on the axis y (0, 1) x (-1, 0) (1, 0) (0, -1)

  12. Find the exact value of trigonometric function. y (0, 1) x (1, 0) (-1, 0) (0, -1) Complete Unit Circle WS Angles & the Unit Circle

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