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Mathematics
Subject Enrichment
Activity
Presented by : Yashika Gupta
•The distances or heights can be found by using some mathematical techniques
, which come under a branch of mathematics called ‘trigonometry’.​
•The word ‘trigonometry’ is derived from Greek words ‘tri’
(meaning three),’gon’(meaning sides) and metron(meaning measure)​
•Trigonometry is the branch of mathematics which deals with
triangles, particularly triangles in a plane where one angle of the triangle is 90
degrees
Introduction
•A triangle in which one angle is equal to 90 is called right triangle.​
•The side opposite to the right angle is known as hypotenuse. It is also
the longest side in a Right Angled Triangled.
•The other two sides are known as legs.​
•AC is the hypotenuse
•AB and BC are the legs
Right Triangle
• In any right triangle, the area of the square whose side is the hypotenuse
is equal to the sum of areas of the squares whose sides are the two legs.
• In the figure AB2 = BC2 + AC2
• For Example:-
Pythagoras Theorem
Sine(Sin) = Opposite/Hypotenuse
Cosine(Cos) = Base/Hypotenuse
Tangent(Tan) = Opposite/Base
Cosecant(Cosec) = Hypotenuse/Opposite
Secant(Sec) = Hypotenuse/Base
Cotangent(Cot) = Base/Opposite
TRIGONOMETRIC RATIOS
Values Of Trigonometric Function Of
Angle A
•SinA = BC/AC​
•CosA = AB/AC​
•TanA = BC/AB​
•CosecA = AC/BC​
•SecA = AC/AB​
•CotA = AB/BC​
Introduction to Trignometry
Introduction to Trignometry
Introduction to Trignometry
Introduction to Trignometry
Introduction to Trignometry

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Introduction to Trignometry

  • 2.
  • 3. •The distances or heights can be found by using some mathematical techniques , which come under a branch of mathematics called ‘trigonometry’.​ •The word ‘trigonometry’ is derived from Greek words ‘tri’ (meaning three),’gon’(meaning sides) and metron(meaning measure)​ •Trigonometry is the branch of mathematics which deals with triangles, particularly triangles in a plane where one angle of the triangle is 90 degrees Introduction
  • 4. •A triangle in which one angle is equal to 90 is called right triangle.​ •The side opposite to the right angle is known as hypotenuse. It is also the longest side in a Right Angled Triangled. •The other two sides are known as legs.​ •AC is the hypotenuse •AB and BC are the legs Right Triangle
  • 5. • In any right triangle, the area of the square whose side is the hypotenuse is equal to the sum of areas of the squares whose sides are the two legs. • In the figure AB2 = BC2 + AC2 • For Example:- Pythagoras Theorem
  • 6. Sine(Sin) = Opposite/Hypotenuse Cosine(Cos) = Base/Hypotenuse Tangent(Tan) = Opposite/Base Cosecant(Cosec) = Hypotenuse/Opposite Secant(Sec) = Hypotenuse/Base Cotangent(Cot) = Base/Opposite TRIGONOMETRIC RATIOS
  • 7. Values Of Trigonometric Function Of Angle A •SinA = BC/AC​ •CosA = AB/AC​ •TanA = BC/AB​ •CosecA = AC/BC​ •SecA = AC/AB​ •CotA = AB/BC​