Shop Essentials (Applied Mathematics)

Shop Trig Overview 210

This class presents a general overview and refresher for the rules of trigonometry.

  • Difficulty Intermediate

  • Format Online

  • Number of Lessons 13

  • Language English

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Course Outline
  • Objectives
  • Properties of a Triangle
  • Right Triangles
  • Solving for a Variable
  • The Pythagorean Theorem
  • Using the Pythagorean Theorem
  • Trigonometric Ratios
  • Trigonometric Relationships
  • Using a Sine Ratio
  • Using a Tangent Ratio
  • Properties of a Circle
  • Using Triangles in Drawings
  • Summary
Objectives
  • Describe the relative size of the sides and angles in a triangle.
  • Describe parts of a right triangle.
  • Find simple unknown quantities.
  • Define the Pythagorean Theorem.
  • Apply the Pythagorean Theorem.
  • Define the trigonometric ratios.
  • Identify when to use trig ratios.
  • Use the sine ratio to find missing triangle information.
  • Use the tangent ratio to find missing triangle information.
  • Describe the properties of a circle.
  • Use trig ratios in the context of a drawing.
Glossary
vocabulary term
Definition

axis

An imaginary straight line used to describe the location of an object. Two or more axes are perpendicular to one another.

circle

A figure formed by the group of points that are an equal distance from a shared point, or center.

cosine

In a right triangle, the ratio of the length of the side adjacent to the angle divided by the hypotenuse.

diameter

The distance from one edge of the circle to the opposite edge that passes through the center.

hypotenuse

In a right triangle, the side located opposite the right angle.

perpendicular

Forming right angles at the intersection of two lines.

Pythagorean Theorem

A mathematical rule describing how the sides of a right triangle are related. The sum of the square of both sides equals the square of the hypotenuse.

radius

The distance from the center of a circle to a point on its circumference.

right triangle

A triangle containing one angle that measures exactly 90 degrees.

sine

In a right triangle, the ratio of the length of the side opposite the angle divided by the hypotenuse.

tangent

In a right triangle, the ratio of the length of the side opposite the angle divided by the adjacent side.

triangle

A three-sided figure determined by connecting three points that do not share the same line.

trigonometric ratio

A ratio that describes a relationship between a side and angle of a triangle.

trigonometry

The branch of mathematics that addresses the measurements and relationships of a triangle and its parts.