CalcNotes0102-page7 - sin (the y-coordinate of P )...

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(Chapter 1: Review) 1.31 Observe : • The pattern in the “sin” column Technical Note : An explanation for this pattern appears in the Sept. 2004 issue of the College Mathematics Journal (p.302). • The fact that the “sin” column is flipped (or reversed) to form the “cos” column. This is due to the Cofunction Identities (or the Pythagorean Identities). • As ± increases from 0 ± to 90 ± (i.e., from 0 to 2 radians), ••
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Unformatted text preview: sin (the y-coordinate of P ) increases from 0 to 1. Note : This is more obvious using the Unit Circle approach instead of the Right Triangle approach. •• cos (the x-coordinate of P ) decreases from 1 to 0. •• tan (the slope of the terminal side) starts at 0, increases, and approaches ± . • Here is the “Big Picture.” Remember that each intersection point is of the form P cos , sin ( ) ....
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This note was uploaded on 12/29/2011 for the course MATH 150 taught by Professor Sturst during the Fall '10 term at SUNY Stony Brook.

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