**Unit Four**

Unit Objective:

Learn the meaning of degrees and radians and be able to convert between them; definition
of the 6 trigonometric functions in a right triangle and in the plane; the signs of the
trigonometric functions in the four quadrants. Use a calculator to find
trigonometric functions or angles; solve right triangles; determine the trigonometric functions of
special angles; solve word problems involving right triangles; find the six
trigonometric functions for an angle, whose terminal side passes through any point in the
plane; use reference angles to find both angles with a given trigonometric function.

*All assignments are in Basic Technical Mathematics With Calculus 7th edition by Allyn J. Washington, 2000.

Method of Evaluation:

The unit test will be a pencil and paper quiz taken at your class site. The test will be
administered by the instructor or by a proctor. Please see the course schedule for the
exact time and date of the unit test.

Objective One

Understand the terms for angles, angle measurement, standard position, quadrant, and
coterminal. Be able to convert between degrees and radians.

- Read 4.1, pages 104 - 107.
- Complete Work Exercises 4.1, page 107 #1, 3, 5, 7, 13 - 35 (odd), 41, 43.
**Quick Review sheet 4-1**.

Objective Two

Learn the definition of the six trigonometric functions in a plane, for an angle whose
terminal side goes through the point (x, y)..

- Read 4.2, pages 107 - 111.
- Complete Work Exercises 4.2, page 111 #1, 3, 9, 13, 17, 19, 25, 29.
**Quick Review sheet 4-2**.

Objective Three

Be able to use your calculator to find trigonometric ratios or angles.

- Read 4.3, pages 112 - 115.
- Complete Work Exercises 4.3, page 115 #5 - 43 (odd), 46.
**Quick Review sheet 4-3**.

Objective Four

Identify the hypotenuse, adjacent side and opposite side in a right triangle for a given
angle. Learn the definitions of the six trigonometric ratios and be able to use
trigonometric functions to solve right triangles.

- Read 4.4, pages 116 - 119.
- Complete Work Exercises 4.4, pages 119 - 120 #1, 5, 7, 9, 11, 15, 17, 25 - 29 odd.
**Quick Review sheet 4-4**.

Objective Five

Be able to apply trigonometric functions to right triangle problems. Note: Angles of
elevation and depression are always measured from the horizontal.

- Read 4.5, pages 120 - 122.
- Complete Work Exercises 4.5, pages 122 - 123 #3, 4, 5, 7, 8, 9, 11, 13, 15, 16, 17, 19, 21, 23.
**Quick Review sheet 4-5**.

Worksheets

- Objective 1 Worksheet.
- Objective 2 Worksheet.
- Objective 3 Worksheet.
- Objective 4 Worksheet.
- Objective 5 Worksheet.
- Answers.

**[Course Outline]** **[Home Page]**

*Copyright © 1996 by B. Chambers and P. Lowry. All Rights Reserved.*