KnowledgeBoat Logo
|

Mathematics

Find the value of cot x.

Find the value of cot x. Solution of Right Triangles, Concise Mathematics Solutions ICSE Class 9.

Trigonometric Identities

13 Likes

Answer

Find the value of cot x. Solution of Right Triangles, Concise Mathematics Solutions ICSE Class 9.

In Δ ABC, according to Pythagoras theorem,

⇒ AC2 = BC2 + AB2 (∵ AC is hypotenuse)

⇒ 22 = BC2 + (3\sqrt3)2

⇒ 4 = BC2 + 3

⇒ BC2 = 4 - 3

⇒ BC2 = 1

⇒ BC = 1\sqrt1

⇒ BC = 1

cot x=BasePerpendicularcot x=CBABcot x=13\text{cot x} = \dfrac{Base}{Perpendicular}\\[1em] \text{cot x} = \dfrac{CB}{AB}\\[1em] \text{cot x} = \dfrac{1}{\sqrt3}

Hence, cot x = 13\dfrac{1}{\sqrt3}.

Answered By

9 Likes


Related Questions