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

Examples

Example 1
Important

Example 2

Example 3 (i) Important You are here

Example 3 (ii)

Example 4 Important

Example 5 Important

Example 6 Important

Question 1 Deleted for CBSE Board 2024 Exams

Question 2 Deleted for CBSE Board 2024 Exams

Question 3 Deleted for CBSE Board 2024 Exams

Question 4 Important Deleted for CBSE Board 2024 Exams

Question 5 Important Deleted for CBSE Board 2024 Exams

Question 6 Important Deleted for CBSE Board 2024 Exams

Question 7 Important Deleted for CBSE Board 2024 Exams

Chapter 2 Class 12 Inverse Trigonometric Functions

Serial order wise

Last updated at June 6, 2023 by Teachoo

Example 3 Show that sinβ1 (2xβ(1βπ₯2)) = 2 sin-1x Solving L.H.S. sinβ1 ( 2x β(1βπ₯2) ) Putting x = sin ΞΈ = sinβ1 ("2 sin ΞΈ " β(πβππππ" ΞΈ" )) = sinβ1 ("2 sin ΞΈ " β(ππππ" ΞΈ" )) = sinβ1 (2sin ΞΈ cos ΞΈ) = sinβ1 (sin 2ΞΈ) We need to make 2x β(πβππ) in terms of sin When we get β(1βπ₯2) , we put x = cos ΞΈ or sin ΞΈ = 2ΞΈ = 2 Γ sinβ1 x = 2 sinβ1 x = R.H.S. Since L.H.S. = R. H. S. Hence proved As x = sin ΞΈ sin-1 x = ΞΈ