CalcNotes0103-page11

CalcNotes0103-page11 - cos 2 u ± sin 2 u = cos 2 u...

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(Chapter 1: Review) 1.45 GROUP 3a: DOUBLE-ANGLE (Think: Angle-Reducing, if u > 0) IDENTITIES Memorize: (Also be prepared to recognize and know these “right-to-left.”) sin 2 u () = 2sin u cos u Think : “Twice the product” Reading “right-to-left,” we have: 2sin u cos u = sin 2 u () (This is helpful when simplifying.) cos 2 u () = cos 2 u ± sin 2 u Think
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Unformatted text preview: cos 2 u ± sin 2 u = cos 2 u ( ) Contrast this with the Pythagorean Identity: cos 2 u + sin 2 u = 1 tan 2 u ( ) = 2 tan u 1 ± tan 2 u (Hard to memorize; we’ll show how to obtain it.) Notice that these identities are “angle-reducing” (if u > 0) in that they allow you to go from trig functions of (2 u ) to trig functions of simply u ....
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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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