Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class


Example 5 Write cotβˆ’1 (1/√(π‘₯^2 βˆ’ 1)), |π‘₯| > 1 in the simplest form. cot-1 (1/√(π‘₯^2 βˆ’ 1)) Putting x = sec ΞΈ = cotβˆ’1 (1/√(γ€–π¬πžπœγ€—^πŸβ‘π›‰ βˆ’ 1)) = cotβˆ’1 (1/√(γ€–(𝟏 + γ€–π­πšπ§γ€—^πŸγ€—β‘πœ½ ) βˆ’ 1)) = cotβˆ’1 (1/√(tan^2⁑θ )) We write 1/√(π‘₯^2 βˆ’ 1) in form of cot Whenever there is √(π‘₯^2βˆ’1) , we put x = sec ΞΈ = cotβˆ’1 (1/tan⁑θ ) = cotβˆ’1 (cot ΞΈ) = ΞΈ We assumed x = sec ΞΈ sec ΞΈ = x ΞΈ = secβˆ’1 x Hence, our equation becomes cotβˆ’1 (1/√(π‘₯^2βˆ’1)) = ΞΈ cotβˆ’1 (1/√(π‘₯^2βˆ’1)) = secβˆ’1 x

Ask a doubt
Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.