Write each of the following in the simplest form:

RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 4. Inverse Trigonometric Functions

Subject: Maths - Class 12^th

Q. No. 7 of Exercise 4.7

Listen NCERT Audio Books - Kitabein Ab Bolengi

7

Write each of the following in the simplest form:

Assume x = tanθ

= tan^–1

= tan^–1

= tan^–1

= tan^–1

= tan^–1

Cos θ = 1 – 2 sin² and sinθ =

⇒ 1 – cosθ = 2 sin²

= tan^–1

= tan^–1

= tan^–1(tan)

=

But θ = tan^–1x.

∴

Therefore, the simplification of given equation is

7

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

1

Evaluate each of the following:

1

Evaluate each of the following:

1

Evaluate each of the following:

1

Evaluate each of the following:

1

Evaluate each of the following:

1

Evaluate each of the following:

1

Evaluate each of the following:
sin^–1(sin3)

1

Evaluate each of the following:
sin^–1(sin4)

1

Evaluate each of the following:
sin^–1 (sin12)

1

Evaluate each of the following:
sin^–1 (sin 2)

2

Evaluate each of the following:

2

Evaluate each of the following:

2

Evaluate each of the following:

2

Evaluate each of the following:

2

Evaluate each of the following:
cos^–1(cos 3)

2

Evaluate each of the following:
cos^–1(cos 4)

2

Evaluate each of the following:
cos^–1(cos 5)

2

Evaluate each of the following:
cos^–1(cos 12)

3

Evaluate each of the following:

3

Evaluate each of the following:

3

Evaluate each of the following:

3

Evaluate each of the following:

3

Evaluate each of the following:
tan^–1 (tan 1)

3

Evaluate each of the following:
tan^–1 (tan 2)

3

Evaluate each of the following:
tan^–1 (tan 4)

3

Evaluate each of the following:
tan^–1 (tan 12)

4

Evaluate each of the following:

4

Evaluate each of the following:

4

Evaluate each of the following:

4

Evaluate each of the following:

4

Evaluate each of the following:

4

Evaluate each of the following:

4

Evaluate each of the following:

4

Evaluate each of the following:

5

Evaluate each of the following:

5

Evaluate each of the following:

5

Evaluate each of the following:

5

Evaluate each of the following:

5

Evaluate each of the following:

5

Evaluate each of the following:

6

Evaluate each of the following:

6

Evaluate each of the following:

6

Evaluate each of the following:

6

Evaluate each of the following:

6

Evaluate each of the following:

6

Evaluate each of the following:

7

Write each of the following in the simplest form:

7

Write each of the following in the simplest form:

7

Write each of the following in the simplest form:

7

Write each of the following in the simplest form:

7

Write each of the following in the simplest form:

7

Write each of the following in the simplest form:

7

Write each of the following in the simplest form:

7

Write each of the following in the simplest form:

7

Write each of the following in the simplest form:

7

Write each of the following in the simplest form: