# Pre-calculus & Trigonometry

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## TRIGONOMETRY & PRE-CALCULUS

We offer top-quality classes conducted by teachers with a bachelor’s or master’s degree in mathematics.

Our students will not only learn math formulae, but also will take on word problems and problem solving.

We offer group sessions of up to 6 students, enabling each of our teachers to find an individual approach for their students.

Classes focus primarily on homework help and test preparation, but also challenge advanced students to think in creative ways.

These classes are recommended for 10th, 11th or 12th graders who have passed the pre-requisite classes,

however college students are welcome to enroll.

### Trigonometry

**Topics:**

- Definitions of Basic Trigonometric Functions
- Pythagorean Identities
- Quotient Identities
- Numerical Values of Sine, Cosine, and Tangent for the Key Angles in Degrees and Radians
- Amplitude, Period, and Phase Shift
- Arc Length Formula
- Double-angle Formulas
- Half-angle Formulas
- Sum and Difference Formulas
- Graph of Six Basic Trigonometric Functions
- Law of Sines
- Law of Cosines
- Vectors
- Polar Graphs
- Linear and Angular Velocity
- Area of triangles
- DeMoivre’s Theorem
- Finding the nth Root of a Complex Number
- Conic Sections
- Inverse Trigonometric Functions
- Small Angle Approximations

### Pre-calculus

**Topics:**

- Rational and Irrational Numbers
- Completing the Square to Solve Polynomials
- Synthetic Division
- Points of Inflection and Concavity
- Reflections of a Graph about the X-axis, Y-axis, and the Origin
- Symmetry of a Graph
- Odd and Even Functions
- Translations of a Graph
- Singularities
- Reciprocal Functions
- Horizontal and Vertical Asymptotes, and Slant
- Sigma Notation for Sums
- Factorials & Factorial Representations
- Permutations and Combinations
- Fundamental Principle of Counting
- Binary and Hexadecimal Numbers
- The Binomial Theorem
- Pascal’s Triangle
- Multiplication of Sums
- Mathematical Induction
- Logarithms
- Piecewise Functions
- Slope of Lines and Polynomials, Functions, etc.
- Functions: Domain, Range, and Composition
- Roots and Rational Exponents
- Equations with Logarithms and Exponentials
- Exponential Growth and Decay
- Sequences and Series
- Introduction to Calculus (Limits, Derivations, Riemann Sums)

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## How to find us

**Tel:****(408)596-1270**

**E-mail****:** __info@langmath.com__

**Address****:**

**LMLC**

**650 N Winchester Blvd**

suite 2

suite 2

**San Jose**

**CA 95128**