Ex 3.3, 22 - Chapter 3 Class 11 Trigonometric Functions

Last updated at July 24, 2026 by

Ex 3.3, 22 - Prove cot x cot 2x - cot 2x cot 3x - cot 3x cot x - Ex 3.3

part 2 - Ex 3.3, 22 - Ex 3.3 - Serial order wise - Chapter 3 Class 11 Trigonometric Functions

Take a fresh quiz. Then take another.
Every attempt is a new AI-adaptive Teachoo quiz with 10 questions, selected from your answers, mistakes, and progress.
Remove Ads

Transcript

Ex 3.3, 22 Prove that cot š‘„ cot 2š‘„ ā€“ cot 2š‘„ cot 3š‘„ ā€“ cot 3š‘„ cot š‘„ = 1 Solving L.H.S. cot x cot 2x ā€“ cot 2x cot 3x ā€“ cot 3x cot x = cot x cot 2x ā€“ cot 3x (cot 2x + cot x) = cot x cot 2x ā€“ cot (2x + x) (cot 2x + cot x) = cot x cot 2x ā€“ ((cot 2x cot x āˆ’ 1)/(cot x + cot 2x)) (cot 2x + cot x) = cot x cot 2x ā€“ (cot 2x cot x ā€“ 1) = cot x cot 2x ā€“ cot 2x cot x + 1 = 1 = R.H.S. Hence L.H.S = R.H.S Hence proved

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh is an IIT Kanpur graduate and has been teaching for 16+ years. At Teachoo, he breaks down Maths, Science and Computer Science into simple steps so students understand concepts deeply and score with confidence.

Many students prefer Teachoo Black for a smooth, ad-free learning experience.