Evaluate each of the following:

RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 4. Inverse Trigonometric Functions

Subject: Maths - Class 12^th

Q. No. 4 of Exercise 4.7

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4

Evaluate each of the following:

sec

∴ The question converts to sec^–1

Now,

Let sec^–1 = z

⇒ sec z =

= sec

The range of principal value of sec^–1is [0, π]–{}

and sec

Therefore, the value of sec^–1sec is .

4

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: