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:

As we know cosec(–θ) = –cosecθ


∴ cosec = –cosec


–cosec can be written as –cosec


Also,


cosec(2π+θ) = cosecθ


∴ –cosec = –cosec


As we know –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
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