Last updated at May 29, 2018 by Teachoo

Transcript

Example 12 Simplify tan-1 [(a cos〖x −b sinx 〗)/(b cos〖x+a sinx 〗 )], if a/b tan x > -1 tan-1 [(a cos〖x − b sinx 〗)/(b cos〖x + a sinx 〗 )] = tan-1 [((a cos〖x − b sinx 〗)/(b cosx ))/((b cos〖x + a sinx 〗)/(b cosx ))] = tan-1 [((𝑎 cos𝑥)/(𝑏 cos𝑥 ) − (𝑏 sin𝑥)/(𝑏 cos𝑥 ))/((𝑏 cos𝑥)/(𝑏 cos𝑥 ) + (𝑎 sin𝑥)/(𝑏 cos𝑥 ))] = tan-1 [(𝑎/(𝑏 ) − (𝑏 sin𝑥)/(𝑏 cos𝑥 ))/(1 + (𝑎 sin𝑥)/(𝑏 cos𝑥 ))] = tan-1 [(a/b − tanx)/(1 + a/b tanx )] = tan-1 a/b – tan-1 (tan x) = tan-1 a/b − x

Chapter 2 Class 12 Inverse Trigonometric Functions

Ex 2.1, 5
Important

Ex 2.1, 8 Important

Ex 2.1, 12 Important

Ex 2.1, 14 Important

Example 5 Important

Example 8 Important

Ex 2.2, 12 Important

Ex 2.2, 15 Important

Ex 2.2, 19 Important

Ex 2.2, 21 Important

Example 10 Important

Example 12 Important You are here

Example 13 Important

Misc. 2 Important

Misc. 7 Important

Misc. 10 Important

Misc. 11 Important

Misc 12 Important

Misc. 17 Important

Class 12

Important Question for exams Class 12

- Chapter 1 Class 12 Relation and Functions
- Chapter 2 Class 12 Inverse Trigonometric Functions
- Chapter 3 Class 12 Matrices
- Chapter 4 Class 12 Determinants
- Chapter 5 Class 12 Continuity and Differentiability
- Chapter 6 Class 12 Application of Derivatives
- Chapter 7 Class 12 Integrals
- Chapter 8 Class 12 Application of Integrals
- Chapter 9 Class 12 Differential Equations
- Chapter 10 Class 12 Vector Algebra
- Chapter 11 Class 12 Three Dimensional Geometry
- Chapter 12 Class 12 Linear Programming
- Chapter 13 Class 12 Probability

About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.