Introduction
Chapter Name : Some Applications Of Trigonometry |
Sub Topic Code : 104_10_09_01_01 |
Topic Name : Introduction |
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Sub Topic Name : Introduction |
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Introduction
• Trigonometry was invented because its need arose in astronomy. Since then astronomers have used it to calculate distances from the Earth to the planets and stars. • Trigonometry is also used in geography and in navigation. The knowledge of trigonometry is used to construct maps, determine the position of an island in relation to the longitudes and latitudes.
Pre-Requisites:
• Trigonometric Functions • Graphical Representation of Trigonometric angles
Activity:
Use a measuring tape to find the shadow of a building. Also find its line of sight. Then, use inverse trigonometric identities to find out the angle of elevation.
Real Life Question:
How far is the moon from Earth?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Trigonometric Functions | The trigonometric functions (also called circular functions) are functions of an angle. They are used to relate the angles of a triangle to the lengths of the sides of a triangle. |
| Theodolite | Theodolite is a Surveying instrument, which is based on the Principles of trigonometry and is used for measuring angles with a rotating telescope. |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Protractor | Use protractor to find different angles and use the angles to find out height/length of different objects. |
Real life uses :
It is used in navigation to find the distance of the shore from a point in the sea. Trigonometry is also commonly used in finding the height of towers and mountains.
Places to visit :
Use the Inverse trigonometric identities to find out different light angles in your home.
Practical examples around us
| Examples | Explainations |
|---|---|
| Navigation in Oceans | It is used in oceanography in calculating the height of tides in oceans. |
| Distance between planets | It is used in finding the distance between celestial bodies. |
What you learn in Theory:
Different real-life applications where Trigonometric functions can be used.
What you learn in Practice:
Use inverse trigonometric identities to find out the angle of elevation for trees, buildings, towers etc.