# Math Projects Based on Trigonometry

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Trigonometry is the study of angles. Trigonometry-based math projects visually display concepts and applications of angles and special trigonometric math principles. Discover the world of angles with projects that are based on fundamental principles and that will fascinate students year after year. Teaching trigonometric math with projects makes an engaging learning environment which students need.

## Trigonometry: The Basics

• This trigonometry project, based on displaying the principles for beginning students, requires at least a basic understanding of the subject. Students collaborate and analyze trigonometric principles. Have small groups focus on drawing the graphs for sine, cosine and tangent. Groups use principles to draw transformation for each, as well. Groups draw a unit circle with all known values of sine, cosine and tangent at different angles. Each group should make a theme that seems interesting and compile the project as an introduction to trigonometry for younger students just starting out with the subject.

## Art with Trigonometry

• The brilliance of symmetry makes wonderful art in this math project. Have students use at least six trigonometric functions (like sine cosine and tangent) over a certain domain to create symmetry. They should use a graphing calculator to visualize how these function graphs interlace. Have students conventionally graph each graph on oversized paper. Have students color certain domains and ranges in certain colors. The art and fun becomes everlasting with this trigonometry project.

## Rockets Trigonometry Project

• Simple rocket construction requires a half-filled water bottle and a tire pump. Getting the rocket higher may require special fitting, but making a rocket helps with understanding trigonometric math based principles. By launching rockets at a pre-determined angle, students can determine the height the rockets will reach, using a measuring tape and equations from trigonometry class. The actual construction of a rocket makes use of trigonometry as well but may be hard to incorporate.

## Measuring a Tall Building

• Applied trigonometry means using the principles from the classroom to solve real life problems. How tall is the school building? This project starts with steps to determine of the angle at which the sun hits the building. The angle from a stick's shadow represents the same angle. Measure the height of the stick and length of the shadow. Use the Pythagorean theorem to find the hypotenuse and the law of sines to find the angle of the sun hitting the building. Use the law of cosine with the discovered angle and the length of the building's shadow to solve for the height of the building.

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