Transcription of PRE-CALCULUS FORMULA BOOKLET
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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 FUNCTION
graphs of trigonometric functions length of an arc: s rt area of a circular sector: 2t 2 1 a r angular velocity: t t z linear velocity: t v r t chapter 7 trigonometric identities and equations pythagorean identities: t t t t t t 2 2 2 1 t c n 1 c n s 1 sum and difference identities: d e d e d e d e d e d e d e d e d e 1 n n n n ( ) ( ) n s s n ...
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