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Review: Special Right Triangles 30 o 60 o 45 o 45 o s s 3 s s 2 2 s s

Review: Special Right Triangles 30 o 60 o 45 o 13-2 Angles & the Unit Circle Day 1 Today’s Objective: I can work with angles in standard position

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Slide 2 Review: Special Right Triangles 30 o 60 o 45 o Slide 3 13-2 Angles & the Unit Circle Day 1 Todays Objective: I can work with angles in standard position. Slide 4 Angle on coordinate plane in standard position: 1.Vertex on origin 2.One ray of angle is on positive x-axis Terminal side Initial side + 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) Slide 5 What are the measures of each angle? Sketch each angle in standard position Slide 6 Coterminal angles angles that have the same terminal side Slide 7 Review: Special Right Triangles 30 o 60 o 45 o p. 835:1-7 odds p. 840:7-25 odds, 64-66 Slide 8 Angles & the Unit Circle Day 2 Todays Objective: I can find the coordinates of points on the unit circle. Slide 9 x y (1, 0) (0, 1) (-1, 0) (0, -1) 1 SOH CAH TOA Unit Circle: Radius = 1 Always draw a right triangle with one leg on x-axis Slide 10 Special Right Triangles 30 o 60 o 45 o Slide 11 x y (1, 0) (0, 1) (-1, 0) (0, -1) Angle: 30 o 1 30 o x y (1, 0) (0, 1) (-1, 0) (0, -1) Draw a right triangle with one leg on x-axis Angle: 60 o 1 60 o Slide 12 x y (1, 0) (0, 1) (-1, 0) (0, -1) Angle: 120 o 1 120 o x y (1, 0) (0, 1) (-1, 0) (0, -1) Draw a right triangle with one leg on x-axis Angle: 45 o 1 45 o Slide 13 x y (1, 0) (0, 1) (-1, 0) (0, -1) Points on the axis Complete Unit Circle Slide 14 Find the exact value of trigonometric function. x y (1, 0) (0, 1) (-1, 0) (0, -1) Complete Unit Circle WS Angles & the Unit Circle