Stitz-Zeager_College_Algebra_e-book

Use your calculator to approximate the following to

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Unformatted text preview: ◦ − β = 90◦ − 37◦ 28 17 . While we could reach for the calculator to obtain an approximate answer, we choose instead to do a bit of sexagesimal7 arithmetic. We first rewrite 90◦ = 90◦ 0 0 = 89◦ 60 0 = 89◦ 59 60 . In essence, we are ‘borrowing’ 1◦ = 60 from the degree place, and then borrowing 1 = 60 from the minutes place.8 This yields, γ = 90◦ − 37◦ 28 17 = 89◦ 59 60 − 37◦ 28 17 = 52◦ 31 43 . Up to this point, we have discussed only angles which measure between 0◦ and 360◦ , inclusive. Ultimately, we want to use the arsenal of Algebra which we have stockpiled in Chapters 1 through 9 to not only solve geometric problems involving angles, but to also extend their applicability to other real-world phenomena. A first step in this direction is to extend our notion of ‘angle’ from merely measuring an extent of rotation to quantities which can be associated with real numbers. To that end, we introduce the concept of an oriented angle. As its name s...
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This note was uploaded on 05/03/2013 for the course MATH Algebra taught by Professor Wong during the Fall '13 term at Chicago Academy High School.

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