Transcription of PRE-CALCULUS FORMULA BOOKLET - C-pp HS learning lab site
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PRE-CALCULUS FORMULA BOOKLET - C-pp HS learning lab site
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
SEQUENCES AND SERIES THE nth TERM OF AN ARITHMETIC SEQUENCE an a1 (n 1)d SUM OF A FINITE ARITHMETIC SERIES ( ) 2 1n a a n S THE nth TERM OF A GEOMETRIC SEQUENCE 1 1 n an a r SUM OF A FINITE GEOMETRIC SERIES r a a r S n n 1 1 1 THEOREMS FOR LIMITS LIMIT OF A SUM n n n n n n n (a b ) alim b o f o f o f LIMIT OF A DIFFERENCE n …
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