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# L08_blanks - Day 09 Lecture 08 for 2/03/2011 Generalizing...

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1 Day 09 Lecture 08 for 2/03/2011 Generalizing Trigonometry, part deux The Unit Circle Definition of the Trig. Functions Let t be any real number and let ( x , y ) be the terminal point on the unit circle corresponding to the real number t or the central angle of radian measure t . Then, Slide: 2 of 16 is 0

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2 Helpful Diagram Slide: 3 of 16 is 0 Take a 1) Real Number t 2) Radian Angle t Find the terminal point ( x , y ) on the unit circle corresponding to the 1) arc of length | t | from ( 1 , 0 ) 2) central angle t in standard position. Then… Examples Find the six trigonometric function of the given real number t . Slide: 4 of 16 is 0
3 Since every real number or radian angle has a point on the unit circle, the domain of both sine and cosine is… The values of the sine function are the ____-coordinates of points on the unit circle, the values of cosine are the ____-coordinates. Therefore the range for both sine and cosine is… Slide: 5 of 16 is 0 Periodicness A function f is periodic if there is a positive number c such that for all t in the domain of f . The smallest non-negative number c satisfying the above equation is called the period of f . Example

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## This note was uploaded on 08/01/2011 for the course MAC 1114 taught by Professor Gentimis during the Spring '11 term at University of Florida.

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L08_blanks - Day 09 Lecture 08 for 2/03/2011 Generalizing...

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