Mathematics Describing the Real World: Precalculus and Trigonometry Season 1 Episode 21 Law of Sines
- TV-PG
- June 17, 2011
- 30 min
Mathematics Describing the Real World is an educational TV show that delves into the various branches of mathematics and their applications in the real world. In season 1, episode 21 titled "Law of Sines," the focus is on trigonometry and precalculus, specifically the law of sines.
Trigonometry is a branch of mathematics that deals with the study of angles and the relationships between the sides and angles of triangles. Precalculus, on the other hand, is a course that prepares students for the study of calculus.
The law of sines is a formula used to determine the measures of the sides and angles of non-right triangles. This formula is particularly useful when dealing with oblique triangles, which are triangles that do not have a right angle.
In this episode, the host introduces the law of sines and explains how it works. He provides several real-world examples in which the law of sines can be applied, such as in surveying, navigation, and astronomy.
One example discussed in the episode involves using the law of sines to determine the height of a building or a tree. By measuring the distance between two points (such as the base and top of the building) and the angles of elevation, it is possible to use the law of sines to calculate the height of the structure.
The host also demonstrates how the law of sines can be used in navigation. By using a sextant and measuring the angle of elevation of a celestial object such as a star, it is possible to determine one's location on the surface of the Earth.
The episode also covers the derivation of the law of sines and how it can be applied to solve various types of problems. The host provides step-by-step instructions and examples to help viewers understand the concept more clearly.
Overall, "Law of Sines" is an informative episode that provides a comprehensive introduction to the law of sines and its practical uses. Whether you are a student of trigonometry or just interested in learning more about the subject, this episode is a great resource for anyone looking to improve their understanding of the fascinating world of mathematics.