13-2 angles & the unit circle day 1
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Periodic Functions and Trigonometry
Review: Special Right Triangles
30o60o45o45o
13-2Angles & the Unit CircleDay 1Todays Objective:I can work with angles in standard position.
Angle on coordinate plane in standard position:
Vertex on originOne ray of angle is on positive x-axisTerminal sideInitial 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)
What are the measures of each angle?
Sketch each angle in standard position
Coterminal anglesangles that have the same terminal side
Review: Special Right Triangles
30o60o45o45o
p. 835:1-7 odds p. 840:7-25 odds, 64-66
Angles & the Unit CircleDay 2Todays Objective:I can find the coordinates of points on the unit circle.WE LOVE MATH!!xy(1, 0)(0, 1)(-1, 0)(0, -1)1
SOH CAH TOA
Unit Circle: Radius = 1
Always draw a right trianglewith one leg on x-axis8Special Right Triangles
30o60o45o45oxy(1, 0)(0, 1)(-1, 0)(0, -1)Angle: 30o 1
30oxy(1, 0)(0, 1)(-1, 0)(0, -1)Draw a right triangle with one leg on x-axisAngle: 60o 1
60o
1060oxy(1, 0)(0, 1)(-1, 0)(0, -1)Angle: 120o 1
120oxy(1, 0)(0, 1)(-1, 0)(0, -1)Draw a right triangle with one leg on x-axisAngle: 45o 1
45o
11xy(1, 0)(0, 1)(-1, 0)(0, -1)Points on the axis
Complete Unit Circle12Find the exact value of trigonometric function.
xy(1, 0)(0, 1)(-1, 0)(0, -1)Complete Unit CircleWS Angles & the Unit Circle
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