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# 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.

#### Algebraic expressions

Algebra is a branch of mathematics where numbers and letters are used to represent numeric problems

#### Linear equations with one variable

Equations are linear when they can be written in the form ax+b=c, where, x is a variable and a, b and c are constants.

#### Laws of exponents

The laws of exponents are some of the most important laws in algebra because they can be part of most algebraic problems.

#### Domain and range of functions

The domain is the set of possible values for the inputs of the function. The range is the set of possible values for the outputs.

## GEOMETRY

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

#### Properties of a parallelogram

A parallelogram is a two-dimensional figure that has sides that are parallel to each other.

#### Corresponding angles

Corresponding angles are angles formed when a transverse line crosses two straight lines.

#### Elements of a sphere

Some of the most important elements of the spheres are the radius, the diameter, the center, the poles and the chords.

#### Nets of a cube

A cube is a six-sided regular polyhedron. This means that all the faces of a cube are squares.

## TRIGONOMETRY

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

#### Period of the cosine function

The period of the cosine function is 2π, therefore, the value of the function is equivalent every 2π units.

#### Amplitude of sine functions

The amplitude is the distance between the center line of the function and the maximum or minimum point.

#### Rectangular to polar coordinates

Polar coordinates are written in the form (r, θ), where r is the distance and θ is the angle.

#### Law of cosines

The law of cosines is the ratio of the lengths of the sides of a triangle with respect to the cosine of its angle.

## PRECALCULUS

Learn about parabolas, ellipes, circumferences and hyperbolas.

#### Circumference with center at origin

To find the equation of a circle centered at the origin, we use the Pythagorean theorem.

#### Elements of a parabola

The fundamental elements of a parabola are: vertex, focus, focal length, latus rectum, directrix and axis.

#### Equation of an ellipse with examples

Equations of ellipses centered at the origin can have two variations depending on their orientation.

#### Elements of the hyperbola

The most important elements of a hyperbola are the foci, vertices, axes, focal length, semi-axes, and asymptotes.