7-1 - 7­1.notebook November 18, 2010 Ch. 7 Trigonometry...

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Unformatted text preview: 7­1.notebook November 18, 2010 Ch. 7 Trigonometry Functions Measurement of angles Dec 7­10:48 AM Terminal Ray θ Theta Initial Ray Degree is common angle measurement. Positive degrees open up counter­clockwise and negative angles open up clockwise. Radian is a second type of measurement. Naming angles ­ introduction 1 7­1.notebook November 18, 2010 A r arc length = 1r r θ B In general, s = θr arc length is s, theta in radians Radian measurement is when an arc of a circle has the same radius measurement. Dec 7­11:55 AM Converting degrees to radians or radians to degrees. 3600 = 2π 1800 = π So as a conversion factor use either 180/π or π/180 Ex. convert 450 to radians Ex. convert 2π/3 to degrees Dec 7­12:02 PM 2 7­1.notebook November 18, 2010 Convert 1960 to radians, nearest hundredths. Convert 1.35 radians to degrees, nearest tenths. H.W. p.260 1­2, p.261 1­10 Dec 7­12:10 PM Coterminal angles two angles in standard position that have the same terminal ray. Ex. 4050 4050 and 450 45 0 These are coterminal angles. Feb 18­10:15 AM 3 7­1.notebook November 18, 2010 Ex. These are coterminal angles. ­3150 450 450 and ­3150 Feb 18­10:23 AM Exs. Find coterminal angles, 1 positive and 1 negative with 2π/3 H.W. p. 260 3,6 p. 261 11­14, 17,18 Feb 18­10:27 AM 4 ...
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This note was uploaded on 04/22/2011 for the course MATH 212 taught by Professor Owens during the Winter '07 term at Grand Valley State University.

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