tailieunhanh - SAT II Math Episode 1 Part 2

Tham khảo tài liệu 'sat ii math episode 1 part 2', ngoại ngữ, ngữ pháp tiếng anh phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | Outline of Topics 15 E. Graphs of trigonometric functions 1. Graphs of the sine cosine and tangent curves 2. Properties of the sine cosine and tangent curves 3. Definitions of amplitude period and frequency 4. Solving trigonometric equations graphically F. Solutions of oblique triangles 1. Law of sines 2. Law of cosines 3. Using logarithms to solve oblique triangle problems 4. Vector problems parallelogram of forces 5. Navigation problems IX. MISCELLANEOUS TOPICS A. Complex numbers 1. Meaning 2. Operations a Addition and subtraction b Multiplication and division i. Powers of i ii. Complex conjugate 3. Complex roots of quadratic equations B. Number Bases 1. Converting from base 10 to other bases 2. Converting from other bases to base 10 3. Operations in other bases C. Exponents and logarithms 1. Meaning of logarithms 2. Computation with exponents and logarithms 3. Equations 4. Graphs of exponential and logarithmic functions D. Binary operations 1. Definition of binary operations 2. Properties of binary operations 3. Application to modular arithmetic E. Identity and inverse elements 1. Addition 2. Multiplication 3. Other operations ARCO SAT II Math arco Part III MATH REVIEW ILLUSTRATIVE PROBLEMS AND SOLUTIONS 1. Formulas and Linear Equations An equation is a statement that two mathematical expressions are equal. In the equation 3x 4 19 the 3 4 and 19 are called constants the letter x the variable. When solving an equation we try to find the numerical value or values of the variable that makes the equality true. In 3x 4 19 the value x 5 is the root or solution of the equation. In this equation the highest exponent of x is 1 and so we call such an equation a first degree equation. It is also called a linear equation since its graph is a straight line. The basic principle of solving equations is the following Addition subtraction multiplication or division except by 0 of both sides of an equation by the same number results in an equivalent equation .