Trigonometry

ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ

The Story of Mathematics

Philosophy of Mathematics

Teaching of Mathematics

Curriculum and Syllabus

Topics in School Mathematics

Textbooks

Question Bank

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Concept Map

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Textbook

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

For NCERT Text book Please click here
For TAMILNAADU Text book click here and here

Additional Information

Useful websites

1. Trigonometry on wikipedia click here
2. khan academy trigonometry video
3. For more about trigonometry click here
4. [https://www.khanacademy.org/math/trigonometry%7C trigonometry: khan academy}
5. - fundamentalconcept of angle in trignometry this web describes trignometrical functions
6. videos on trignometry from youtube which will give basic ideas

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.

Activities

Activity No.1 For History of Trigonometry click here
Activity No.2 For History of Trigonometry slideshow click here

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 raios.

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

Trigonometry is multi-concept based. A student should know concept of measuring-angles, triangle, right-angled triangle, pythogorus theorem, ratios, proportionality and Identities. Trigonometry also require students insight,visualization and perceptual ability.

Activities

1. Activity No #1
2. 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 ${\frac {1-\tan ^{2}A}{1+\tan ^{2}A}}=1-\sin ^{2}A$
Solution of this problem click here

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

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