Limits Of Trigonometric Functions
Chapter Name : Limits And Derivatives |
Sub Topic Code : 104_11_13_04_01 |
Topic Name : Limits Of Trigonometric Functions |
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Sub Topic Name : Limits Of Trigonometric Functions |
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Introduction
• Trigonometric functions are functions of an angle. They are used to relate angles of a triangle to the lengths of sides of triangle. • Limit is a numerical value that the function approaches closely. • In this section we understand how to get value of trigonometric functions by applying limits.
Pre-Requisites:
• Knowledge of Trigonometric Functions. • Knowledge of Limits.
Real Life Question:
If it takes 30 seconds to run a circular 100 meter track. What is the angular velocity at a certain point b?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Trigonometric functions | Trigonometric functions relate angles of a triangle to the lengths of sides of triangle. |
| Unit circle | Circle with a radius of one. |
| Circular sector | A sector is a pie shaped part of a circle formed by two radii and a arc (section of circle). |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|
Real life uses :
Trigonometric functions have wide uses in real life. These functions are used in construction, navigation, astronomy etc.
Practical examples around us
| Examples | Explainations |
|---|---|
| Wave lengths | Mathematicians use trigonometric functions to express the shape of wave. |
What you learn in Theory:
Sandwich theorem is very useful in proving trigonometric identities.
What you learn in Practice:
Sometimes we deal with trigonometric functions that do not have all the values. A limit investigates behavior of trigonometric functions and approaches a closer value.