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Math T - Trigonometry Notes

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Trigonometry  Trigonometry            

Types of triangle Triangle

Types of triangle Triangle Types of angleTypes of angle

Right-angle triangle

Right-angle triangle Acute angleAcute angle



Isosceles triangle

Isosceles triangle     Obtuse angleObtuse angle



Equilateral triangle

Equilateral triangle     Reflex angleReflex angle



Scalene triangle (Three different sides)

Scalene triangle (Three different sides) Supplementary angleSupplementary angle Complementary angle Complementary angle

Pythagorean Triangle Pythagorean Triangle

  

Proof of Pythagoras Theorem Proof of Pythagoras Theorem

1. 1.            Trigonometry Trigonometry Measurement of  Measurement of  triangle triangle Sides

Sides of of triangle triangle Angles of Angles of triangletriangle

Study of triangle Study of triangle Sine,Cosine,Tan Sine,Cosine,Tan Pythagorean, Pythagorean, Fourier Analysis, Fourier Analysis, geometry geometry

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2. 2.         3. 3.             4. 4.                                              Right-angle triangle Right-angle triangle                         Opposite is inverse

Opposite is inverse relationshrelationshipip Left (Right)=Center Left (Right)=Center Trigonometric Identities Trigonometric Identities       a a cc b b              1 1

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                  Divides Divides   Divides Divides   Triangle Formulae Triangle Formulae                                        √ √       Proof: Proof: Sine Rule Sine Rule   ,,                     h h  x   x 

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                                 Cosine rule Cosine rule                           Area Rule Area Rule          

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                                 [[  ][][ ]]  [[ ]][[]]  [[  ]]  [[]]  [[(()()()()()) ]]  [[ ]]   √ √       √ √      √ √      

(6)

Basic Trigonometric Formulae Basic Trigonometric Formulae

                                    Conclusion Conclusion                                        (())    A A B B C C D D E E F F G G II H H JJ

(7)

                                                                     ((   ))                                              

(8)

                                                    

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