Getting Comfortable With the Unit Circle
Learn the unit circle: radians, the first-quadrant values, reference angles, signs in each quadrant, tangent, coterminal angles and the Pythagorean identity.
Step-by-step guides to algebra, geometry, trigonometry, calculus, statistics and the SAT, with worked examples and practice problems. Plus study skills, and notes for teachers.
Learn the unit circle: radians, the first-quadrant values, reference angles, signs in each quadrant, tangent, coterminal angles and the Pythagorean identity.
Every common area, surface area and volume formula in one place, plus composite shapes, unit conversions, scaling, and real-world problems with full solutions.
Solve any linear equation: one-step and multi-step, variables on both sides, fractions and decimals, no-solution cases, and word problems, with worked examples.
A practical plan for math test prep: gather problem types, practice from memory, keep an error log, space your review, and handle test day well.
Solve systems of two linear equations by substitution, elimination or graphing, spot no-solution and infinite-solution systems, and set up word problems.
A reliable order for factoring: greatest common factor, trinomials, the ac method, difference of squares, cubes and grouping, with worked examples and practice.
Use a² + b² = c² to find a missing side, test whether a triangle is right, find distances on a graph, and recognize triples and special right triangles.
What a logarithm means, the product, quotient, power and change-of-base rules, and how to solve exponential and log equations, with growth examples.
How sine, cosine and tangent work in a right triangle, how to find a missing side or angle, angles of elevation, exact values, and complementary angles.
What a function is, how to read f(x), find domain and range, compose two functions, find an inverse, and shift a graph, with worked examples and practice.