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 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)si
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 a ... chapter 10 introduction to analytic geometry distance formula for two points 2 2 1 2 d (x 2 x ... chapter 11 exponential and logarithmic functions definition of bn 1 n b b 1 rational exponents n m n m m
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