RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 4. Inverse Trigonometric Functions

Subject: Maths - Class 12th

Q. No. 2 of Exercise 4.14

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

2

Prove the following results:

Given:-


Take


LHS


=


We know that, Formula



Thus,


=


=


=


=


Multiplying and dividing by 2


=


We know that, Formula



=


=


=


= RHS


So,



Now,


=


We know that, Formula


=


Thus,


=


=


=


= RHS


So,



Hence Proved


Chapter Exercises

Exercise 4.1
Exercise 4.2
Exercise 4.3
Exercise 4.4
Exercise 4.5
Exercise 4.6
Exercise 4.7
Exercise 4.8
Exercise 4.9
Exercise 4.10
Exercise 4.11
Exercise 4.12
Exercise 4.13
Exercise 4.14
Very short answer
MCQ

More Exercise Questions

1

Evaluate the following:
1

Evaluate the following:
1

Evaluate the following:
1

Evaluate the following:
2

Prove the following results:
2

Prove the following results:
2

Prove the following results:
2

Prove the following results:
2

Prove the following results:
2

Prove the following results:
2

Prove the following results:
2

Prove the following results:
2

Prove the following results:
2

Prove the following results:
3

If ,

Then prove that .
4

Prove that:
4

Prove that:
5

If , Prove that

6

Show that is constant for x ≥1, find the constant.
7

Find the values of each of the following:
7

Find the values of each of the following:
8

Solve the following equations for x:
8

Solve the following equations for x:
8

Solve the following equations for x:
8

Solve the following equations for x:
8

Solve the following equations for x:
8

Solve the following equations for x:
9

Prove that

10

prove that:

, where a= ax – by and β=ay+bx.
11

For any a,b,x,y>0, prove that:

, where a=-ax by, β = bx + ay.

Students Store