mac1147_lecture22_1_c

# mac1147_lecture22_1_c - L22 Angles and their Measure Right...

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253 L22 Angles and their Measure; Right Triangle Trigonometry An angle is formed by rotating a ray around its endpoint. The endpoint is called the vertex . Positive angle – Negative angle –

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254 An angle θ is said to be in standard position if its vertex is in the origin and its initial side coincides with the positive x -axis. An angle in standard position is called a quadrantal angle if its terminal side lies on the x -axis or y -axis.
255 Measuring the Size of Angles Degrees 1 counterclockwise revolution 360 One degree , 1 ° , is 1 360 revolution Right angle , 90 ° , is 1 4 revolution Straight angle , 180 ° , is 1 2 revolution One minute , 1 , is 1 60 degree. One second , 1 ′′ , is 1 60 minute or 1 3600 degree. Example : 36 45 6 ° .

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256 Converting between Degrees, Minutes, and Seconds and Decimal Forms by Hand : Example : Convert 36 45 6 ° ′′ to a decimal in degrees. Example : Convert 25.564 ° to DM S ° form.
257 Radians A central angle is a positive angle whose vertex is at the center of a circle.

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## This note was uploaded on 11/07/2011 for the course MAC 1147 taught by Professor German during the Summer '08 term at University of Florida.

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mac1147_lecture22_1_c - L22 Angles and their Measure Right...

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