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Pc 4.1 notes

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Introduction to radians and degrees.

Introduction to radians and degrees.

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    Pc 4.1 notes Pc 4.1 notes Presentation Transcript

    • 4.1 Radian and DegreeMeasuresEssential Question:What is a "radian" and how do you convert to and fromradians? 1
    • Warm-up:Classify the following angles:How many degrees in a full circle?Find the circumference of the circle below. 2
    • 4.1 Radian and Degree MeasureParts of every angle: ­Initial Side (ray) ­Terminal Side (ray) ­Vertex Standard Position: ­Initial side on the _______ ­Vertex on the _______+ angles: ________– angles: ________ 3
    • Coterminal Angles: Angles that have the same ________ and ________ sides. Naming an angle: 4
    • Radians Video A radian is the measure of a central angle  that intercepts an arc equal in length to the  radius of the circle.How many radians in 1full circle? 5
    • The Ratio:Ex. 1) Convert the following to degrees or radians.a) 135° b) 320°c)–5π/3 d) π/6 6
    • The Quadrants 7
    • Coterminal Angles RevisitedSince coterminal angles have the same initial and terminal sides, when an angle is in standard position you can adding/subtracting a "revolution" to the angle will give you a new angle in the same position.Ex. 2) Find two angles that are coterminal with 9π/4.  8
    • Assignment:4.1A p. 290 #3-69(mult. of 3) 9