Ex 2.2

Ex 2.2,1

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Ex 2.2, 13 (MCQ) Important

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Ex 2.2, 15 (MCQ)

Question 1

Question 2 Important

Question 3 You are here

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Question 6 Important

Chapter 2 Class 12 Inverse Trigonometric Functions

Serial order wise

Last updated at April 16, 2024 by Teachoo

Question 3 Write the function in the simplest form: tanβ1 1/β(π₯^2β1), |x| > 1 tanβ1 (1/β(π₯^2 β 1)) Putting x = sec ΞΈ = tanβ1 (1/β(γπππγ^πβ‘π½ β 1)) = tanβ1 (1/β(γ(π + γπππγ^πγβ‘π½ ) β 1)) = tanβ1 (1/β(tan^2β‘ΞΈ )) = tanβ1 (1/tanβ‘ΞΈ ) We write 1/β(π₯^2 β 1) in form of tan Whenever there is β(π₯^2β1) , we put x = sec ΞΈ = tanβ1 (cot ΞΈ) = tanβ1 tan (90 β ΞΈ) = 90 β ΞΈ = π /π β ΞΈ We assumed x = sec ΞΈ sec ΞΈ = x ΞΈ = sec-1 x Hence, our equation becomes tan-1 (1/β(π₯^2β1)) = π/2 β ΞΈ = π /π β secβ1 x (cot ΞΈ = tan (90 β ΞΈ) )