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PRE-CALCULUS FORMULA BOOKLET

PRE-CALCULUS FORMULA BOOKLETUNIT 1 CHAPTER 1 RELATIONS, FUNCTIONS,AND GRAPHS SLOPE: 1212xxyym SLOPE-INTERCEPT FORM OF A LINE: bmxy POINT-SLOPE FORM OF A LINE: )()(11xxmyy STANDARD FORM OF A LINE: 0 CByAx or CByAx CHAPTER 2 SYSTEMSOF LINEAREQUATIONS AND INEQUALITIES REFLECTION MATRICES 1001axisxr 1001_axisyr 0110xyr ROTATION MATRICES 011090 R 1001180 R 0110270 R DETERMINANTS 2X2: bcaddcbadcba det 3x3: 332213322133221333222111333322111detbaba ccacabcbcbacbacbacbacbacbacba CHAPTER 3 THE NATURE OF GRAPHS EVEN FUNCTIONS: );()(xfxf symmetric with respect to the y-axis ODD FUNCTIONS: );()(xfxf symmetric with respect to the origin DIRECT VARIATION: 0, nkxyn INVERSE VARIATION: 0, nxkyn JOINT VARIATION: ,nnzkxy where 0,0 zxand 0 n CHAPTER 4 POLYNOMIALS AND RATIONAL FUNCTIONS QUADRATIC FORMULA : aacbbx242 UNIT 2 CHAPTER 5 THE TRIGONOMETRIC FUNCTIONS LAW OF SINES: CcBbAasinsinsin or cCbBaAsinsinsin AREA OF A TRIANGLE CabKsin21 CBAcKsinsinsin212 Hero s FORMULA : ,))()((csbsassK where 2cbas LAW OF COSINES: Cabbaccos2222 CHAPTER 6 GRAPHS OF TRIGONOMETRIC FUNCTIONS LENGTH OF AN ARC: rs AREA OF A CIRCULAR SECTOR: 221rA ANGULAR VELOCITY: t LINEAR VELOCITY: trv CHAPTER 7 TRIGONOMETRIC IDENTITIES AND EQUATIONS PYTHAGOREAN IDENTITIES: 222222csccot1sec1tan1cossin SUM AND DIFFERENCE IDENTITIES: tantan1tantan)tan(sincoscossin)sin(sinsi ncoscos)cos( DOUBLE-AN

pre-calculus formula booklet. unit 1 chapter 1 relations, functions,and graphs slope: 2 1 2 1 x x y y m slope-intercept form of a line: ... vectors and parametric equations vectors in a plane (2-d) a a 1,a 2 g and 1,b 2 g inner (dot) product: a xb a1b1 a2b2 g …

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