We offer a large assortment of worksheets focusing on the majority of skills found in trigonometry.

#### Trigonometry is the branch of math that (as the name indicates) focuses on the relationships and sides of triangles. While you might think that the study of a single shape would have a very narrow scope of application. Trigonometry was historically used in astronomy and geography mostly for its navigation and wayward applications. The physics and engineering applications of trig are boundless. Just about every modern structure on the planet was developed and constructed using many of the root principles of trigonometry. Trig is the fundamental math used by astronomers to measure the distances between planets and stars. Architect use this form of math to design the plan for any home or building that they design. It insures the strength of many modern structures. The geometric shapes that are displayed in most forms of architecture are constructed in that way to ensure maximum reliability of the structure, regardless of where you are located within it.

We will start of by showing you how to make these forms of calculation and we will then progress on to helping you learn how to better choices based on these calculations. The ultimate goal is to help students to learn to evaluate and measure systems with the data that is presented to them. This will be a very profound skill to have in the real world. You will find worksheets that include arithmetic of triangles, comparisons, understandings of variation, the use of coordinate grids, Pythagorean properties, trig identities and sequences.

# Trigonometry Worksheet Categories

## Angle Sum and Difference, Double Angle and Half Angle Formulas

We show you how to find these measures, but more importantly we show you what they mean and how they influence your decisions.

## Area of Triangle Using Trigonometry

This measures by understanding the measures of all the sides of the triangle.

## Arithmetic and Geometric Sequences and Series

Where arithmetic is focused on the order of consecutive terms in a sequence, geometry is more focused on the ratio between those consecutive terms.

## Comparison of Volumes of Similar Solids

This seems like magic, but there is a great deal that you can tell about solids just with a few measures.

## Direct and Inverse Variation

We look at different measures of variables. These are methods used to describe relationships between our data.

## Laws of Cosine

This can be used to learn many different measures in a triangle.

## Law of Sines

Very similar to the benefits of understanding this as the previous topic, but this uses slightly different measures to achieve pretty much the same thing.

## Length of Line Segments on a Coordinate Grid

We show you how to find these measures and what they mean.

## Finding Missing Angle Trigonometrically

This usually applies to right triangles, but that is not always necessary to find the same information.

## Powers of i

We work with the imaginary unit i that is identified as the square root of negative one.

## Pythagorean Identities

This just relates the Pythagorean theorem to the basic trigonometric functions.

## Recursive Sequences

This is series of numbers that are indexed by an integer and are used to solve recurrence equations.

## Sigma Notation of a Series

This is a way of writing a series in shorthand or a compact form. Why not use some of my favorite Greek Letters while we are at it?

## Similar Polygons: Ratio of Perimeters & Areas

We learn how to use simple math to find some geometric measures very quickly.

## Solving Combinations of Variations

This method can be used to better understand very complex systems and better understand them.

## Special Right Triangles

What makes them special anyway? These triangles have angle features that make them very easy to work with. Many tools used by architects have these same characteristics.

## The Binomial Theorem

This theorem sums up the pattern on multiplication that is displayed by binomials.

## Trigonometric Equations

These are most formed to find the value of missing angles, but in some cases, we may be looking for the length of the side of a geometric figure.

## Trigonometric Word Problems

Yes, it is based on working off of trigonometric proofs. These problems are presented in story form though.

## Trigonometric Sequences

This is often used to evaluate forestry data and various form of agriculture.