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

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7

Write each of the following in the simplest form:

Put x = sin2θ

And we know sin²θ +cos²θ = 1

By putting these in above equation, we get

= sin^–1

= sin^–1

= sin^–1

= sin^–1

= sin^–1(sin θ)

= θ

But θ = sin^–1x

∴ The given equation simplification to sin^–1x.

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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:

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Write each of the following in the simplest form:

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Write each of the following in the simplest form:

7

Write each of the following in the simplest form: