# Textbook

1. Karnataka text book for Class 10, Chapter 12 - Trigonometry

## Useful websites

6. - fundamentalconcept of angle in trignometry this web describes trignometrical functions
7. videos on trignometry from youtube which will give basic ideas

1. slide share about trignomety and its application



## Reference Books

For more detailof trigonometry see these trigonometry reference books.

1. Text Book of Mathematics Preuniversity Karnataka Government
2. Trigonometry, I.M. Gelfand, Mark Saul
3. Trigonometry Refresher (Dover Books on Mathematics), A. Albert Klaf, Mathematics
4. Schaum's Outline of Trigonometry, 5th Edition, Robert Moyer, Frank Ayres
5. Trigonometry, 8th Edition, Ron Larson (\$)
6. Advanced Trigonometry, by C.V. Durell, A. Robson

# Teaching Outlines

## History of Trigonometry

### Learning objectives

1. Understanding of how trigonometry is developed
2. Understanding the contribution of Indians in the field of Trigonometry

### Notes for teachers

Give information about the contribution of Indians in the field of Trigonometry to your children, it is developes interest in development of trigonometry.

## Angle Mesurment

### Learning objectives

• Understanding the units of mesurment of an angle
• Understanding the interconversion units of mesurment of an angle

### Notes for teachers

These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.

### Activities

1. Activity No #1 Introducing units of angle mesurments
2. Activity No #2 Interconversion between degree mesurment and angle mesurment

## Introduction to Trigonometric Ratios

### Learning objectives

• Identifying the opposite side, adjacent side and hypotenus of a right angle triangle.
• Undestanding the concept of different Trigonometric ratios.

### Notes for teachers

Use property of similar triangle theorem for two similar right angled triangle during development of trigonometric ratios.

### Activities

1. Activity No #1
2. Activity No #2

## Trignometric ratio with angles

### Notes for teachers

Many teachers and students feel that Trigonometry is a difficult to understand subject. One reason for this is that Trigonometry is multi-concept based. A student should know following concepts well

1. of measuring-angles, triangle and right-angled triangle,
2. pythogorus theorem,
3. ratios,
4. proportionality
5. Identities.
6. Trigonometry also require students insight,visualization and perceptual ability.

### Activities

1. Activity No #1
1. Activity No #2

## Aplication of Trignometry

### Notes for teachers

These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.

### Activities

1. Activity No #1
2. Activity No #2

# Hints for difficult problems

## Problem-1

prove that ${\frac {1-\tan ^{2}A}{1+\tan ^{2}A}}=1-\sin ^{2}A$ # Project Ideas

## PROJECT 1.

Calculation of angle of elevation
Trigonometry is around us.In this project we will apply our knowledge of trigonometry to shadows in order to calculate the angle of elevation to the sun at different times of day.
Procedure of Project: To calculate the angle of elevation of the sun go through the procedure

• Mesure your height and the length of the shadow you cast at two different times of day [at least 3 hours apart]
• Record the times and measurements [with units]
• Draw the right triangle in this scenario.
• label the sides of your drawing with your mesurements and angle of elevation
• Solve for the angle of elevation while clearly showing all your steps
Note for teachers
Don't forget that you need to do the procedure above twice for two different times of a day.

# Math Fun

Usage

Create a new page and type {{subst:Math-Content}} to use this template