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:

cosec can be written as cosec


cosec = –cosec


Also,


–cosec(θ) = cosec(–θ)


⇒ –cosec = cosec


Now the question becomes cosec–1(cosec)


cosec–1(cosec x) = x


Provided x ϵ –{0}


∴ we can write cosec–1(cosec.


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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