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

ODD FUNCTIONS: f( x) f(x); symmetric with respect to the origin DIRECT VARIATION: y kx n,n ! 0 INVERSE VARIATION: ,n ! 0 x k y n JOINT VARIATION: y kxnzn, where x ,z0 and n!0 CHAPTER 4 POLYNOMIALS AND RATIONAL FUNCTIONS QUADRATIC FORMULA: a b b ac x 2 r 2 4 UNIT 2 CHAPTER 5 THE TRIGONOMETRIC FUNCTIONS LAW OF SINES: C c B b A …

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  Formula, Functions, Quadratic, Calculus, Functions quadratic formula, Pre calculus formula

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