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What is the definition of opposite side?

The side across from the reference angle in a right triangle.

Learn more about opposite side in the class "Trig: Sine, Cosine, and Tangent 215" below.

Trig: Sine, Cosine, and Tangent 215

Shop Essentials Department

Class Information

Tooling U classes are offered at the beginner, intermediate, and advanced levels.
The typical class consists of 12 to 25 lessons and typically requires at least two hours of instruction time.

Class Name	Trig: Sine, Cosine, and Tangent 215
Description	This class explains how to use sine, cosine, and tangent to find information about the sides and angles of right triangles in sample shop prints.
Prerequisites	800205
Difficulty	Intermediate
Number of Lessons	17

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Class Outline

Class Objectives

Objectives

Right Triangle Relationships

Labeling Right Triangles

Sine, Cosine, and Tangent

SOHCAHTOA

Sine: Finding a Missing Dimension

Cosine: Finding a Missing Dimension

Tangent: Finding a Missing Dimension

Finding a Missing Angle

Cosecant, Secant, and Cotangent

What Is a Taper?

Taper per Foot: Sample Problem

Taper per Foot: Solution

Finding a Taper Angle: Sample Problem

Finding a Taper Angle: Sample Problem #2

Sample Problem #2: Solution

Summary

Describe the relationship between the sides and angles of a right triangle.

Identify the sides of a right triangle according to its reference angle.

List the most common trig ratios.

Explain the phrase SOHCAHTOA.

Use the sine ratio to solve for a missing dimension.

Use the cosine ratio to solve for a missing dimension.

Use the tangent ratio to solve for a missing dimension.

Solve for a missing angle using a trigonometric ratio.

Use a less common trig ratio to solve for a missing dimension.

Describe common methods for specifying tapers in blueprints.

Find the dimensions of a right triangle formed by a conical taper.

Calculate the taper per foot of a conical taper.

Solve for the total included angle of a conical taper.

Class Vocabulary

Term	Definition
adjacent side	The side next to the reference angle in a right triangle. The adjacent side cannot be the hypotenuse.
CAH	Cosine is adjacent over hypotenuse.
cosecant	In a right triangle, the ratio of the length of the hypotenuse divided by the opposite side of the angle. Cosecant is the reverse of sine.
cosine	In a right triangle, the ratio of the length of the side adjacent to the angle divided by the hypotenuse.
cotangent	In a right triangle, the ratio of the length of the adjacent side divided by the length of the opposite side of the angle. Cotangent is the reverse of tangent.
hypotenuse	The longest side of a right triangle. The hypotenuse is always opposite the 90° angle in a right triangle.
included angle	The entire angle that contains the taper. Each edge of the taper forms a leg of the angle.
minute	A unit of measurement used to describe angles. There are 60 minutes in 1 degree.
opposite side	The side across from the reference angle in a right triangle.
reference angle	The measured, or known angle in a right triangle other than the 90° angle.
right triangle	A triangle containing one angle that measures exactly 90 degrees.
secant	In a right triangle, the ratio of the length of the hypotenuse divided by the adjacent side of the angle. Secant is the reverse of cosine.
second	A unit of measurement used to describe angles. There are 60 seconds in 1 minute and 60 minutes in 1 degree.
sine	In a right triangle, the ratio of the length of the side opposite the angle divided by the hypotenuse.
SOH	Sine is opposite over hypotenuse.
SOHCAHTOA	A common phrase that helps visualize the relationship between the trigonometric ratios. Each letter represents the ratios in order.
symmetrical	A quality in which all the features on either side of a point, line, or plane are identical. Both sides of a symmetrical part have the same dimensions.
tangent	In a right triangle, the ratio of the length of the side opposite the angle divided by the length of the adjacent side.
taper	A conical object with a gradual decrease in diameter from one end to another. On a shop print, a taper forms a right triangle.
taper per foot	A measurement unit for a taper indicating the change in diameter for each foot along the taper's length.
TOA	Tangent is opposite over adjacent.
trigonometric ratio	A ratio that describes a relationship between the sides and angles of a triangle.

What is the definition of opposite side?

The side across from the reference angle in a right triangle.Learn more about opposite side in the class "Trig: Sine, Cosine, and Tangent 215" below.

Trig: Sine, Cosine, and Tangent 215

Shop Essentials Department

The side across from the reference angle in a right triangle.

Learn more about opposite side in the class "Trig: Sine, Cosine, and Tangent 215" below.