RS Aggarwal - Mathematics

Book: RS Aggarwal - Mathematics

Chapter: 4. Inverse Trigonometric Functions

Subject: Maths - Class 12th

Q. No. 7 G of Exercise 4C

Listen NCERT Audio Books to boost your productivity and retention power by 2X.

7 G

Prove that:


To Prove:


Formula Used:


1)


2)


Proof:


LHS … (1)




… (2)


Substituting (2) in (1), we get


LHS … (3)


Let


Therefore … (4)



From the figure,


… (5)


From (4) and (5),


… (6)


Substituting (6) in (3), we get


LHS





= tan-1 1



= RHS


Therefore, LHS = RHS


Hence proved.


Chapter Exercises

More Exercise Questions