NIMCET 2017 Question Paper with solutions

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Question : 87 of 120

Marks: +1, -0

Find the principal value of

cot^{-1}(-√3)

$π/3$
$π/6$
${7π}/6$
${5π}/6$

Solution:

Since,

cot^{-1}

(-z) = π -

cot^{-1}

(x)
∴

cot^{-1}(-√3)

= π -

cot^{-1}(√3)

= π -

cot^{-1} (cotπ/6)

= π -

π/6

=

{5π}/6

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