INTRODUCTION TO TRIGONOMETRY MADE BY ANISH HAKHU IX

INTRODUCTION TO TRIGONOMETRY MADE BY: ANISH HAKHU IX - A

What is Trigonometry? § Trigonometry is the study of how the sides and angles of a triangle are related to each other. § It's all about triangles!

Right Triangle Opposite Hypotenuse q Adjacent A

Same Right Triangle – Different Angle B q Adjacent Hypotenuse Opposite

Trigonometric Ratios § The trigonometric ratios of the angle A in right triangle are defined as follows : § Sine of LA = side opposite to angle A = BC hypotenuse AC § Cosine of LA = side adjacent to angle A = AB hypotenuse AC § Tangent of LA = side opposite to angle A = BC side adjacent to angle A AB § Cosecant of LA = 1 = hypotenuse = AC sine of LA side opposite to angle A BC § Secant of LA = 1 = hypotenuse = AC cosine of LA side adjacent to angle A BC § Cotangent of LA = 1 = hypotenuse = AC tangent of LA side opposite to angle A BC

A Way To Remember § Sin = Opposite/Hypotenuse Oprah Had § Cos = Adjacent/Hypotenuse A Huge § Tan = Opposite/Adjacent Old Afro

y x, y r y O x x 2 r = x 2 +y 2

Definitions of Trig Functions § Sin /r § Cos § Tan § Csc § Sec § Cot = O O O = = = y x/r y/x r/y r/x x/y

The Unit Circle Radius = 1

y x, y 1 1/2 30 x √ 3/2 2 r = x 2 +y 2

y x, y 1 √/2/2 45 x √ 2/2 2 r = x 2 +y 2

y x, y 1 1/2 60 x √ 3/2 2 r = x 2 +y 2

The Unit Circle-Special Angles and Their Exact Values

THE END