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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Evaluate each of the following:

As we know cosec(–θ) = –cosecθ

cosec = –cosec

–cosec can be written as –cosec


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.

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