Solve fn(ax + b) compared to k sincostan ( x + ) <>≤≥ Interval (optional, also sets the graph window): x ∈ [ , ] Solving Trigonometric Inequalities Where a trigonometric equation like sin(x) = 0.5 asks for specific angles, an inequality like sin(x) ≥ 0.5 asks for an entire range: every x for which…
Solve fn(ax + b) = k sincostan ( x + ) = Interval (optional): x ∈ [ , ] Solving Trigonometric Equations with Periodicity An equation such as sin(2x + 1) = 0.5 does not have a single answer the way a linear equation does. Sine, cosine, and tangent are periodic functions, so any angle…
Course Grade Credits + Add course 0.00 weighted GPA Total credits: 0 How GPA Calculation Works Your Grade Point Average, or GPA, is a single number that summarizes how you performed across all your courses. In the United States, most schools use a 4.0 scale, where each letter grade converts to a fixed number of…
Solve ax + b = c a b c How Solving a Linear Equation Works A linear equation is one of the simplest and most common types of equations in algebra. Written in the form ax + b = c, it describes a straight line relationship between a variable, x, and a set of constants…
Solve ax² + bx + c = 0 a b c Discriminant (Δ = b² − 4ac): 0 How the Quadratic Formula Works A quadratic equation is any equation that can be written in the standard form ax² + bx + c = 0, where a, b, and c are real numbers and a is…
Find the slope and equation of the line through two points Point 1 (x₁, y₁) Point 2 (x₂, y₂) How Slope and the Line Equation Are Calculated The slope of a line measures how steeply it rises or falls as you move from left to right. Given two points on a line, (x₁, y₁) and…
Solve the system a₁x + b₁y = c₁ and a₂x + b₂y = c₂ Equation 1 x + y = Equation 2 x + y = How Solving a System of Equations Works A system of linear equations pairs two equations that share the same two unknowns, usually written x and y. In the form…
Factor ax² + bx + c a b c What Factoring Means and How to Do It Factoring a quadratic expression means rewriting it as a product of two simpler expressions, usually two binomials, instead of a sum of terms. If expanding (x + 2)(x + 3) gives you x² + 5x + 6, factoring…
Solve ax + b compared to c x + <>≤≥ How to Solve a Linear Inequality A linear inequality looks almost identical to a linear equation, written as ax + b compared to c using <, >, ≤, or ≥ instead of an equals sign. Where an equation like 2x + 3 = 9 has…
Right triangle: a² + b² = c² Enter any two side lengths and leave the third blank to solve for it. Leg a Leg b Hypotenuse c Understanding the Pythagorean Theorem The Pythagorean theorem describes a fixed relationship between the three sides of any right triangle, a triangle with one 90-degree angle. If a and…