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What is the definition of tangent?

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

Learn more about tangent in the class "Trig: Sine Bar Applications 225" below.

Trig: Sine Bar Applications 225

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 Bar Applications 225
Description	This class explains how to use the sine bar for machining and inspection purposes and explains step-by-step examples for using trig ratios and the sine bar to find missing information in shop prints.
Prerequisites	800215
Difficulty	Intermediate
Number of Lessons	14

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Class Outline

Class Objectives

Objectives

Sine, Cosine, and Tangent

What Is the Sine Bar?

The Purpose of the Sine Bar

Setting the Sine Bar Angle: An Example

Determining Gage Block Size

Determining the Sine Bar Angle

Determining the Gage Pin Height

Checking Dimensions: Sample Part

Sample Inspection: Right Triangle #1

Sample Inspection: Right Triangle #2

Sample Inspection: Right Triangle #3

Sample Inspection: Solution

Summary

Identify the three most common trig ratios.

Describe the sine bar.

Describe common applications for a sine bar.

Explain how to set up a sine bar angle.

Determine the gage block size for a specific sine bar angle.

Determine the measurement of the sine bar angle using a gage block height.

Explain how a gage pin helps you measure distances and edges on a part.

Find the information in the shop print to help you begin measuring a part on a sine bar.

Use a trig ratio to find missing information in the sample problem.

Solve for the total part height in the sample problem.

Class Vocabulary

Term	Definition
cosine	In a right triangle, the ratio of the length of the side adjacent to the angle divided by the hypotenuse.
gage block	A hardened steel block that is manufactured with highly accurate dimensions. Gage blocks are available in a set of standardized lengths.
gage pin	A cylindrical pin often used with the sine bar, which helps determine a range of precise measurements. A gage pin provides an easily accessible surface and a known height from which you can measure all distances and edges.
height gage	A type of measuring instrument with a precision finished base, a beam that is at a right angle to the base, and an indicator.
hypotenuse	The longest side of a right triangle. The hypotenuse is always opposite the 90° 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.
sine	In a right triangle, the ratio of the length of the side opposite the angle divided by the hypotenuse.
sine bar	A steel bar with a matching cylinder on each end that is used for setting up work at various angles for the machining or inspection of parts. A sine bar is ground and lapped to a high accuracy.
surface plate	A hard, flat surface, usually made of granite, which is used as a base for inspecting parts.
tangent	In a right triangle, the ratio of the length of the side opposite the angle divided by the adjacent side.
transversal line	A line that intersects two or more lines at different points.
trigonometric ratio	A ratio that describes a relationship between a side and angle of a right triangle.
vertical angles	Two angles that share the same vertex and are positioned directly opposite one another. Vertical angles are formed whenever two lines intersect.

What is the definition of tangent?

In a right triangle, the ratio of the length of the side opposite the angle divided by the adjacent side.Learn more about tangent in the class "Trig: Sine Bar Applications 225" below.

Trig: Sine Bar Applications 225

Shop Essentials Department

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

Learn more about tangent in the class "Trig: Sine Bar Applications 225" below.