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. 5 of Exercise 4.7

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5

Evaluate each of the following:

The value of cosec = –2.

Let,

cosec^–1–2 ⁼ y

⇒ cosec y = –2

⇒ –cosec y = 2

⇒ –cosec = 2

As we know cosec(–θ) = –cosecθ

∴ –cosec = cosec

The range of principal value of cosec^–1 is –{0} and

cosec = –2

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

5

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

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sin^–1(sin3)

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sin^–1(sin4)

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sin^–1 (sin12)

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sin^–1 (sin 2)

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cos^–1(cos 5)

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cos^–1(cos 12)

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tan^–1 (tan 4)

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tan^–1 (tan 12)

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