L09_blanks - Day 10 Lecture 09 for 2/08/2011 Generalizing...

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1 Day 10 Lecture 09 for 2/08/2011 Generalizing Trigonometry, part Tres More Generalizations If a point ( x,y ) in the plane is on the unit circle then that points’ coordinates give the values of the trigonometric functions for any angle whose terminal side goes through that point. But what if the point is not on the unit circle? In that case, we can normalize the point by dividing its ______________ by the point’s norm , r, its _______________ from the origin. Slide: 2 of 16 is 0
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2 Trig. Functions defined by Normalized Pts. Let ( x , y ) be a point in space. Let r = Then, Notice : 1) From the last slide we know ___________ is a point on the unit circle. 2) This definition of the 6 trig. functions agrees with the unit circle definition when r = ___ 3) And agrees with the right triangle definition if the point ( x , y ) is in quadrant ___ . 4) If x = 0 , secant and tangent are _____________. 5)
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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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L09_blanks - Day 10 Lecture 09 for 2/08/2011 Generalizing...

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