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Trigonometry Help

The trigonometry category of math help covers the beginning trigonometry skills. Click any trigonometry concept below to view a complete lesson. These trigonometry lessons support the questions (each having their own video solution) in our vast database. After viewing a lesson, we recommend that you create a personalized question-set in order to practice and evaluate your learning.

Trigonometry Help

• Topic A: Working with Rational (Fractional) Expressions
  • Prerequisite 1: Operations with Polynomials {A.A.13,14}
  • Prerequisite 2: Factoring Review {A.A.19,20}
  • Prerequisite 3: Factoring by Grouping
  • Concept 1: Reducing Algebraic Fractions {A2.A.16}
  • Concept 2: Multiplying and Dividing Algebraic Fractions {A2.A.16}
  • Concept 3: Adding and Subtracting Fractions {A2.A.16}
  • Concept 4: Simplifying Complex Fractions {A2.A.17}
  • Concept 5: Solving Fractional Equations {A2.A.23}
  • Concept 6: Undefined Fractions {A2.A.16}
• Topic B: Radicals, Quadratics, Inequalities and Absolute Value
  • Concept 1: Solving Absolute Value Equations {A2.A.18}
  • Concept 2: Solving Absolute Value Inequalities {A2.A.18}
  • Concept 3: Simplifying a Radical {A2.A.13,14;A2.N.2,3}
  • Concept 4: Adding and Subtracting Radicals {A2.A.13,14;A2.N.2,3}
  • Concept 5: Multiplying and Dividing Radicals {A2.A.13,14;A2.N.2,3}
  • Concept 6: Rationalizing a Denominator {A2.A.16,17;A2.N.6}
  • Concept 7: Solving Quadratic Equations by Factoring & Square Root Method {A2.A.7}
  • Concept 8: Completing The Square {A2.A.24}
  • Concept 9: Quadratic Formula {A2.A.25}
  • Concept 10: Solving Radical Equations {A2.A.22}
  • Concept 11: Applications of Quadratic Equations {A2.A.4}
  • Concept 12: Solving Rational (Fractional) Inequalities; Interval Notation
• Topic C: The Complex Numbers (Imaginary Numbers); Quadratic Inequalities
  • Concept 1: Imaginary Numbers {A2.N.6,7}
  • Concept 2: Adding, Subtracting & Graphing Complex Numbers {A2.A.17;A2.N.8,9}
  • Concept 3: Multiplying and Dividing Complex Numbers {A2.A.17;A2.N.8,9}
  • Concept 4: Quadratic Equations with Imaginary Roots {A2.A.25}
  • Concept 5: Nature of the Roots of a Quadratic Equation {A2.A.2}
  • Concept 6: Sum & Product Of the Roots Of a Quadratic {A2.A.20,21}
  • Concept 7: Solving Quadratic Inequalities {A2.A.2,4}
• Topic D: Polynomial Equations; Equation of a Circle; Quadratic-Linear Systems
  • Concept 1: Solving Higher Degree Equations Algebraically
  • Concept 2: Solving Higher Degree Equations Graphically
  • Concept 3: Equation of a Circle {G.G.71,72,73,74}
  • Concept 4: Inverse Variation and the Hyperbola {A2.A56}
  • Concept 5: Graphing Quadratic Inequalities {A2.A24}
  • Concept 6: Solving Quadratic-Linear Systems of Equations {A.A.11;A.G.6,7,8,9}
• Topic E: Functions, Conic Sections, Transformations
  • Concept 1: Evaluating Functions: f(x) {A2.A.40,41}
  • Concept 2: Domain and Range; Vertical line Test {A2.A.38,39,51,52}
  • Concept 3: One-to-One and Onto Functions {A2.A.43,44,45}
  • Concept 4: Inverse Functions {A2.A.43,44,45}
  • Concept 5: Composition of Functions: f(g(x)) {A2.A.42}
  • Concept 6: The Conic Sections
  • Concept 7: Isometries,Transformations {G.G.54,55,58,60}
  • Concept 8: Review of Transformations {G.G.54-61}
  • Concept 9: Compositions with Transformations {G.G.58}
  • Concept 10: Shifting, Reflecting & Stretching the Graphs of Functions
  • Concept 11: Graphs and Equations with Functions
  • Concept 12: The Hyperbola and Inverse Variation {A2.A.56}
• Topic F: Rules of Exponents; Exponential Functions
  • Concept 4: Exponential Functions & their Graphs {A2.A.27,28,53,54}
  • Concept 1: Laws of Exponents {A2.A.8}
  • Concept 2: Zero, Negative & Fractional Exponents {A2.A.8,9,10;A2.N.1}
  • Concept 3: Scientific Notation {A.N.4}
  • Concept 6: The natural base e; Graphing y=e^x {A2.A.27,28,53,54}
  • Concept 5: Solving Exponential and Fractional Exponent Equations{A2.A.27,28,53,54}
• Topic G: Logarithmic Functions
  • Concept 1: The Logarithmic Function and its Graph {A2.A.19,53,54}
  • Concept 2: Properties of Logarithms {A2.A.18,19}
  • Concept 3: The Natural Log: ln x; the Base "e" {A2.A.6;A2.CN.6,7}
  • Concept 4: Solving Logarithmic Equations {A2.A.28}
  • Concept 5: Using Logarithms to Solve Exponential Equations {A2.A.27,28}
  • Concept 6: Applications of Logarithmic & Exponential Functions {A2.A.6;A2.CN.6,7}
• Topic H: Sequences and Series
  • Concept 1: Sequences: Recursive & Explicit {A2.A.29,30,31,33}
  • Concept 2: Arithmetic Sequences {A2.A.29,32}
  • Concept 3: Geometric Sequences {A2.A.29,32}
  • Concept 4: Sigma Notation {A2.A.34}
  • Concept 5: Finite Arithmetic and Geometric Series (Sums) {A2.A.35}
• Topic I: Beginning Trigonometry
  • Concept 1: Trigonometry of the Right Triangle: SohCahToa {A2.A.55}
  • Concept 2: Quadrantal and Coterminal Angles {A2.A.57}
  • Concept 3: Find the Exact Value of Trig. Expressions; Special Triangles {A2.A.56}
  • Concept 4: Expressing as a Function of a Positive Acute Angle: Reference Angles {A2.A.60,62}
  • Concept 5: Sine, Cosine & Tangent as Coordinates {A2.A.60,62}
  • Concept 6: Radian/Degree Conversions {A2.M.1,2}
  • Concept 7: The Reciprocal Identities: Sec, Csc, Cot {A2.A.63,65}
  • Concept 8: Evaluating Trig. Functions in Radians {A2.A.56}
  • Concept 9: Arc Length and Radian Measure {A2.A.61}
  • Concept 10: Cofunctions {A2.A.76,77}
  • Concept 11: Trigonometry and the Calculator; Degrees & Minutes
  • Concept 12: Finding a Trig Function when one is Known {A2.A.67}
• Topic J: Graphs of Trig. Functions; Inverse Trig. Functions (Arc)
  • Concept 1: Amplitude, Frequency, Period & Range {A2.A.69,70,71}
  • Concept 2: Graphing Sine, Cosine, & Tangent {A2.A.65,71}
  • Concept 3: Shifts of Trigonometric Graphs; Applications of Trig. Graphs {A2.A.69,70,71}
  • Concept 4: Finding the Equation of a Trig. Function when Graph is Given {A2.A.70,71}
  • Concept 5: Inverse Trig. Functions: Arc {A2.A.58,64,65}
• Topic K: Trig. Equations and Identities
  • Concept 1: Using and Proving Basic Trigonometric Identities {A2.A.67,76,77}
  • Concept 2: The Sum or Difference of Two Angle Measures {A2.A.76}
  • Concept 3: Function Values of Half/Double Angle Measures {A2.A.77}
  • Concept 4: Single Function First Degree Trigonometric Equations {A2.A.68}
  • Concept 5: Single Function Second Degree Trigonometric Equations {A2.A.68}
  • Concept 6: Trigonometric Equations With Two Functions {A2.A.68}
• Topic L: Applications Of Trigonometric Functions
  • Concept 1: The Law of Sines {A2.A.73}
  • Concept 2: Area of a Triangle {A2.A.74;A2.CN.4}
  • Concept 3: The Law of Cosines {A2.A.73}
  • Concept 4: The Ambiguous Case: How Many Triangles? {A2.A.75}
  • Concept 5: Applications of Trigonometry; Force Problems {A2.CN.3,5,6}
• Topic M: Statistics and Regression Analysis
  • Concept 1: Mean; Mode, Median and Range {A.S.4,11}
  • Concept 2: Standard Deviation
  • Concept 3: Normal Distributions {A2.A.1;A2.S.1,3,16}
  • Concept 4: Regression Analysis {A2.S.6,7,8;A2.AP.11,12}
• Topic N: Probability
  • Concept 1: Permutations and Factorial Notation {A.N.8}
  • Concept 2: Combinations
  • Concept 3: Probability of: Exactly; at Most; at Least {A2.S.15}
  • Concept 4: Expanding a Binomial: Finding Terms of an Expansion {A2.A.36}

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