Trigonometry is a branch of mathematics that deals with triangles and uses ratios of sides to determine unknown angles or lengths. It defines trigonometric functions like sine, cosine, and tangent that relate the angles and sides of a right triangle. For example, the sine of an angle is equal to the ratio of the opposite side to the hypotenuse. Trigonometry has applications in fields like surveying, navigation, and physics that require calculating distances and heights.

1. Mathematics
Subject Enrichment
Activity
Presented by : Yashika Gupta

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​