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ACT Math

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 Overview of the ACT Math Content Pre-AlgebraFactors , Square roots and approximations , Absolute value and ordering numbers by valueExponents, Scientific notation. Elementary Algebra Exponents and square roots, Evaluation of algebraic expressions through substitutionUsing variables to express functional relationships, Algebraic operationsFactoring and quadratic equations Intermediate Algebra Quadratic formula, Rational and radical expressions, Absolute value equations and inequalitiesSequences and patterns, Polynomials, Complex numbers Coordinate Geometry Graphs and their relations with equations including points, lines, polynomials, circles, and other curvesGraphing inequalities, Slope, Parallel and perpendicular lines, Distance; midpoints; and conics Plane GeometryAngles and relations among perpendicular and parallel linesProperties of circles, triangles, rectangles, parallelograms, and trapezoids, TransformationsProof and proof techniques, Volume,  Three-dimensional Geometry Trigonometry Trigonometric relations in right triangles, Values and properties of trigonometric functionsGraphing trigonometric functions, Modeling using trigonometric functionsSolving trigonometric equations Learn more about the

 Trigonometric Equations: Solve the equation, 2sin²θ - sinθ = 0                           This is a Quadratic Equation as in 2x² - x = 0                                          By factorization, Sinθ(2sinθ - 1) = 0                                                 So, sinθ = 0 and 2sinθ - 1 = 0                      When sinθ = 0, angle θ = 0º, 180º and 360º     Also, for 2sinθ - 1 = 0                  sinθ = 0.5. Angle θ = 30º and 150º       Answer: Solutions of θ are 0º, 30º, 150º, 180º and 360º

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