Q1 of 303 Page 4

Find the principal values of each of the following:

The value of


tan = –1


∴ The question becomes 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


∴ The principal value of cot–1(tan) is .


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