161-f11-sg1-09-08 - Fall 2011 MA 16100 Study Guide - Exam #...

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Unformatted text preview: Fall 2011 MA 16100 Study Guide - Exam # 1 (1) Review of Algebra : (a) Equalities, inequalities, absolute values (b) Distance between P ( x 1 ,y 1 ) and P ( x 2 ,y 2 ) is | PQ | = radicalBig ( x 2 x 1 ) 2 + ( y 2 y 1 ) 2 . (c) Equations of lines: (i) Point-Slope Form : y y 1 = m ( x x 1 ) (ii) Slope-Intercept Form : y = mx + b (d) L 1 || L 2 m 1 = m 2 ; L 1 L 2 m 2 = 1 m 1 (e) Equation of a circle: ( x h ) 2 + ( y k ) 2 = r 2 . (2) Review of Trigonometry : (a) Length of arc subtended by : a = r a r (b) Definition of trig functions (cos , sin , tan , csc , sec , cot ); basic trig values of well- know angles. r y x 1-1-1 (cos ,sin ) 1 x y (c) Basic trig identities (including): (i) braceleftBigg sin 2 + cos 2 = 1 tan 2 + 1 = sec 2 (ii) braceleftBigg sin( ) = sin cos( ) = cos (iii) braceleftBigg sin( + 2 ) = sin cos( + 2 ) = cos (iv) braceleftBigg sin 2 = 2 sin cos cos 2 = cos 2 sin 2 (v) sin 2 = 1 cos 2 2 cos 2 = 1 + cos 2 2 1 (3) Functions (a) Functions; Vertical Line Test ; domain and range of a function; piecewise defined...
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161-f11-sg1-09-08 - Fall 2011 MA 16100 Study Guide - Exam #...

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