Mechamath

Mechamath is a website that offers various resources for the study of mathematics. Our goal is to help students learn math in an accessible way.

Algebra

Learn about variables, equations, functions, and more advanced algebraic topics.

10 Examples of Composite Functions with Answers

Composite functions are functions where we use the output values or results of one function as the inputs of another … Read more
10 Examples of Equations with Absolute Value with Answers

Absolute value equations can be solved by squaring both sides of the equation. In this way, the expression inside the … Read more
10 Examples of Quadratic Inequalities with Answers

Quadratic inequalities have the form ax²+bx+c>0, where the inequality signs used are <, >, ≤ and ≥. To solve quadratic … Read more
10 Examples of the Remainder Theorem with Answers

The remainder theorem tells us that when a polynomial f(x) is divided by (αx–β), the remainder is equal to f(β/α). … Read more

Learn about angles, perimeter, area and volume of different geometric figures.

3D Pythagorean Theorem – Formula and Examples

The 3D Pythagorean theorem is an extension of the 2D Pythagorean theorem that can be used to solve problems in … Read more
Acute Scalene Triangle – Formulas and Examples

Acute scalene triangles are scalene triangles in which all of their interior angles are acute. These triangles satisfy the definition … Read more
Adjacent Angles – Definition, Properties and Examples

Adjacent angles are angles that have a common vertex and a common side but do not overlap. Recall that a … Read more
All the Cross-Sections of a Cone

Cone cross-sections are obtained when we cut a cone with a plane. We can obtain different cross-sections depending on the … Read more

Learn about angles in a triangle, trigonometric functions and trigonometric identities.

Amplitude of Cosine Functions – Formulas and Examples

The amplitude along with the period are characteristics of all cosine functions. The amplitude of a function is defined as … Read more
Amplitude of Sine Functions – Formulas and Examples

All sine functions have an amplitude and a period. The amplitude is the distance between the centerline of the function … Read more
Cartesian to Cylindrical Coordinates – Formulas and Examples

Cylindrical coordinates are an alternate three-dimensional coordinate system to the Cartesian coordinate system. Cylindrical coordinates have the form (r, θ, … Read more
Cartesian to Spherical Coordinates – Formulas and Examples

Spherical coordinates are written in the form (ρ, θ, φ), where, ρ represents the distance from the origin to the point, θ represents the … Read more

Learn about parabolas, ellipes, circumferences, and hyperbolas.

Applications of the Ellipse

Ellipses are conic sections formed by a plane that intersects a cone. Ellipses are characterized by the fact that the … Read more
Applications of the Hyperbola

Hyperbolas are conic sections formed when a plane intersects a pair of cones. For the hyperbola to be formed, the … Read more
Arc of a Circumference – Formulas and Examples

An arc of a circumference or of a circle is a portion of the circumference. The length of an arc … Read more
Asymptotes of a Hyperbola – Formulas and Examples

The asymptotes of a hyperbola are straight lines that the curve approaches as the values of the independent variable (x) … Read more