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Complet cheat sheet of Algebra 2 and Trigonometry Regents
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EQUAL Roots IMAGINARY Roots 2 UNEQUAL Roots Solving Linear/Quadratic Systems: 1.Set both equations to “y=” form. 2.Then set both equations equal to each other. 3.Solve the remaining quadratic equation for the x values.
Absolute Values Ex. Equations: Set up 2 cases: Positive case (copy over as is) Negative case: set = to negation of each term on the right Inequalities: Set up 2 cases: Positive case (copy over as is) Negative case: set = to negation of each term on the right Ex.
Less than: arrows in towards each other “AND” Greater than: arrows away from each other “OR” *CHECK all answers! Radical Equations
th
Arc Length
θ θ
Cofunctions (sin-‐cos, sec-‐csc, tan-‐cot) Cofunctions of Complementary Angles are Equal Sin (x) = cos (90 – x) Ex. sec (2x + 10) = csc (x – 40) 2x + 10 + x – 40 = 90 3x – 30 = 90 3x = 120 X = 40 Trig Graphs Y = a sin (bx) + c A = amplitude (dist from midline to max) B = frequency (how many cycles occur 0 -‐ 2 π) C = midline (average of max and min values) Period = 2π/Freq Freq = 2π/Per Setting up your axes: X-‐Axis: 4 tick marks spaced 3 boxes apart Y-‐Axis: 3 tick marks spaced 2 boxes apart π/2, π, 3π/2, 2π (same as 90, 180, 270, 360 deg) Show your work! List Amp, freq, period and midline for each graph. Label your graphs!!!
nCr (Failure)
n = Total # of trials r = Exactly # of trials Failure = Prob of failure (for one time only) Success = Prob of success (for one time only) Binomial Expansion nCr (First Term)
n = exponent r = the # of the term (one less if numerical)
Complex Numbers +, -‐, x, / All operations can be done on calculator! Rationalize the denominator: Multiply by the conjugate of the denominator! Graphing a Complex Number: a + b i is graphed using the coordinate (a, b) Draw an arrow from the origin to the coordinate 1 2 3 4
Complex Fraction Multiply each “little” fraction by the common denominator Variance = (standard deviation)^2 Interquartile Range = Q3 – Q1. Regressions
CALC, then select the appropriate regression from the list based on the question, hit enter.