Series BPN: 2983

Year of production:
1989

Distributor(s):
Films for the Humanities and Sciences

Trigonometric Functions 1

For grades 10 to PS/Adult

6 programs x 10 minutes
In these programs, trigonometric functions are illustrated in a clear and dynamic format that makes full use of the advantages of computer animation. Methods of solving right triangles, using the sine, cosine, and tangent ratios, are presented. The sine and cosine laws are then developed, and several examples involving oblique triangles are introduced and solved. The series ends with the application of the sine and cosine laws to some real-world situations. This series also exists in French. See Fonctions trigonométriques 1.

This series is Closed Captioned

Programs:

Trigonometric Ratios
BPN 298301
The three sides of a right triangle — opposite, adjacent, and hypotenuse — are identified in relation to a chosen angle. The trigonometric ratios, sine, cosine, and tangent, are then defined in relation to the three sides of the right triangle.
(9:35)

Solving Right-Angled Triangles
BPN 298302
Trigonometric ratios and the Pythagorean theorem are used to calculate the unknown angles and sides of right triangles. The Cartesian plane and coordinate system is introduced, and the concept of placing an angle in standard position is demonstrated, showing the counterclockwise rotation of the terminal arm.
(9:35)

Angles on the Plane
BPN 298303
Angles in the first and second quadrants of the Cartesian plane are examined, and their trigonometric ratios are found. In the course of calculating the sine and cosine identities for angles in the second quadrant, it is shown that angle values provided by a calculator require interpretation for accurate results.
(9:35)

The Sine Law
BPN 298304
Methods of solving oblique triangles are demonstrated through the development of the sine law. Also, several numerical examples are presented to help viewers recognize where the sine law can be applied.
(9:35)

The Cosine Law
BPN 298305
A review of the sine law and how it can be used to solve oblique triangles leads to the introduction and development of the cosine law. Several examples show how the cosine law can be used when the sine law’s limitations are reached.
(9:35)

Applications of Sine and Cosine Law
BPN 298306
Several oblique triangles are solved, by means of the sine and cosine laws, and viewers learn how to select and use the law that will work for each triangle.
(9:35)

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