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Six Important Trigonometric Functions


sin A=opposite side/hypotenuse=BC/AC
cos A=adjacent side/hypotenuse=AB/AC
tan A=opposite side/adjacent side=BC/AB
cosec A=hypotenuse/opposite side=AC/BC
sec A=hypotenuse/adjacent side=AC/AB
cot A=adjacent side/opposite side=AB/BC

Relation between Trigonometric Ratios

cosec θ =1/sin θ
sec θ = 1/cos θ
tan θ = sin θ/cos θ
cot θ = cos θ/sin θ=1/tan θ

in ∆ABC,

Hypotenuse, AC = 5cm

Base, BC = 3cm

Perpendicular, AB = 4cm

Then, by the trigonometric ratios, we have;

tan θ = Perpendicular/Base = 4/3

Sin θ = Perpendicular/Hypotenuse = AB/AC = ⅘

Cos θ = Base/Hypotenuse = BC/AC = ⅗

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Chapters
0:00 Introduction
0:17 Basic Concepts
2:31 Trick