Sines and Cosines, Part II (Trigonometry)


Video Segments

1.
Trigonometry
2.
Sines, cosines and the Pythagorean Theorem
3.
The law of cosines
4.
Applying the law of cosines
5.
The law of sines
6.
Applying the law of sines
7.
Surveying by triangulation
8.
Preview of parts III and IV

Contents

Sines and Cosines, Part II (Trigonometry) focuses on the use of sines and cosines in trigonometry, with special emphasis on the law of cosines and the law of sines. They enable us to find all parts of a triangle if three parts are known, and at least one of them is a side. Applications are described in astronomy, navigation, and surveying by triangulation.

One of the major triumphs of surveying by triangulation is the Survey of India, which took more than a century to complete. The program describes how the survey was done and how it determined the height of Mt. Everest. The program also outlines a brief history of surveying instruments, from the dioptra of ancient times to orbiting satellites of modern times.

 


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