Q. 3 C4.5( 2 Votes )

# Evaluate each of

Answer :

Now first of the principal value of

cosec–1 Let cosec–1 = y

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

and cosec Therefore, the principal value of cosec–1 is …(1)

Now, the value of cot–1(–1)

Let cot–1(–1) = y

cot y = –1

= – cot = 1

= cot = cot The range of principal value of cot–1is (0, π)

and cot = –1

Therefore, the principal value of cot–1(–1) is …(2)

From (1) and (2) we can write the given equation as

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