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Warm-up:

Warm-up:. 1. Decide whether the angles are coterminal. Find the angle complement and supplement for each. Convert to degree (decimal) form. Answers. a) yes b) no c) yes 2. 3. Quiz 4.1 Today [after warm-up]. Precalculus Lesson 4.4(a).

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Warm-up:

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  1. Warm-up: 1. Decide whether the angles are coterminal. • Find the angle complement and supplement for each. • Convert to degree (decimal) form.

  2. Answers • a) yes b) no c) yes 2. 3.

  3. Quiz 4.1 Today [after warm-up] PrecalculusLesson 4.4(a) • Check: p. 364 # 3-39(x3) omit 24 [Review exercises]

  4. Unit Circle Quiz Tomorrow [Quadrant 1 and axes] Main Events • Date: ________ • Objective: Use reference angles to evaluate trig functions.

  5. Lesson • Quiz 4.1 • Powerpoint 4.4 (day 1) Just watch • Smartboard notes 4.4 (day 1) copy in notebook

  6. Angles in Standard Position

  7. Angles in Standard Position Using the Cartesian plane, you can find the trigonometric ratios for angles with measures greater than 900 or less than 00. Angles on the Cartesian plane are called rotational angles. An angle is in standard position when the initial arm is on the positive x-axis and the vertex is at (0, 0). Terminal Arm Initial Arm Vertex (0, 0)

  8. Angles in Standard Position An angle is negative when the rotation is clockwise. An angle is positive when the rotation is counterclockwise. Quadrant I Quadrant II Quadrant III Quadrant IV

  9. Angles in Standard Position is measured from the positive x-axis to the terminal arm. Principal Angle is measured in a counterclockwise direction, therefore is always positive. is always less than 3600. Reference Angle is the acute angle between the terminal arm and the closest x-axis. is measured in a counterclockwise direction, therefore is always positive. is always less than 900.

  10. Angles in Standard Position Principal Angle Reference Angle Principal Angle Reference Angle Principal Angle Reference Angle

  11. Finding the Reference and Principal Angles Sketch the following angles and list the reference and principal angles. B) -1200 C) 800 D) 2400 A) 1200 Principal Angle Principal Angle Principal Angle Principal Angle 1200 2400 800 2400 Reference Angle Reference Angle Reference Angle Reference Angle 800 600 600 600

  12. Smartboard notes • Copy in notebook • Review unit circle on board before closure!

  13. Homework p. 317 # 45-66 (x3), 76-88 even Unit Circle Quiz Quadrant 1 tomorrow

  14. Closure • Clear your desk for ---- • Practice Quiz—Unit Circle Quad 1

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