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Modulus of a Complex Number

The principal...

Question

The principal value of $c o s^{- 1} (- \frac{1}{\sqrt{2}})$ is

A

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B

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C

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D

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Solution

The correct option is D

$c o s^{- 1} (\frac{- 1}{\sqrt{2}}) = π - c o s^{- 1} (\frac{1}{\sqrt{2}}) = π - \frac{π}{4} = \frac{3 π}{4}$

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