Find the principal values of the following

$cot to the power of negative 1 end exponent open parentheses square root of 3 close parentheses$

Solution

Let y = $cot to the power of negative 1 end exponent open parentheses square root of 3 close parentheses$ where 0 < y < $straight pi$
$therefore$ cot y= $square root of 3$ where 0 < y < $straight pi$
$therefore space space space space space space space space space space space space space straight y equals straight pi over 6$
$therefore$ requiredf principal value = $straight pi over 6$

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Inverse Trigonometric Functions

Find the principal values of the following

$cot to the power of negative 1 end exponent open parentheses square root of 3 close parentheses$

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