RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 4. Inverse Trigonometric Functions

Subject: Maths - Class 12th

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 .


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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