1.

Find the principal values of each of the following:cot-1(√3)

Answer»

Let cot–1(√3) = y

⇒ cot y = √3

= cot\((\frac{\pi}6)=\sqrt3\) 

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

and cot\((\frac{\pi}6)=\sqrt3\)

\(\therefore\) The principal value of cot–1(√3) is

is \(\frac{\pi}6\)



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