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
Geometry
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 CrossSections of a Cone
Cone crosssections are obtained when we cut a cone with a plane. We can obtain different crosssections depending on the … Read more
Trigonometry
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 threedimensional 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
Precalculus
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