Trigonometry

 ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ

While creating a resource page, please click here for a resource creation checklist.

= Concept Map = Flash

= Textbook= For NCERT Text book Please click here For TAMILNAADU Text book click here and here
 * 1) Karnataka text book for Class 10, Chapter 12 - Trigonometry

=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| 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 =

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

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

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

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
Introduction to Trigonometric Ratios
 * 1) Activity No #1
 * 1) Activity No #2

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

=Assessment activities for CCE=

= 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 =

Usage

Create a new page and type to use this template