Q. 1 D4.0( 3 Votes )

# Find the principa

Answer :

cosec–1(2cos )

Let us assume 2cos = θ

We know cos = 2cos = 2 2cos = –1

The question converts to cosec–1(–1)

Now,

cosec–1–1 = y

cosec y = –1

–cosec y = 1

–cosec = 1

As we know cosec(–θ) = –cosecθ

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

cosec = –1

Therefore, the principal value of cosec–1(2cos ) is .

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