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. 2 of Exercise 4.7

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2

Evaluate each of the following:

The value of cos is

Now,

∴ The question becomes cos^–1()

Let cos^–1 ⁼ y

⇒ cos y =

= –cos

= cos

⇒ cos

The range of principal value of cos^–1 is [0,π] and cos

Therefore, the value of cos^–1(cos) is.

2

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)

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Evaluate each of the following:

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Evaluate each of the following:

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Evaluate each of the following:

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Evaluate each of the following:

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Evaluate each of the following:

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Evaluate each of the following:

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Evaluate each of the following:

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Evaluate each of the following:

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Evaluate each of the following:

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Evaluate each of the following:

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Evaluate each of the following:

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Evaluate each of the following:

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Evaluate each of the following:

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Evaluate each of the following:

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Evaluate each of the following:

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Evaluate each of the following:

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Evaluate each of the following:

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Evaluate each of the following:

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:

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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:

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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:

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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:

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Write each of the following in the simplest form: