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Argument of a Complex Number

The value of ...

Question

The value of ${cot}^{- 1} (- 1)$ is

A

\frac{- π}{4}

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B

\frac{π}{4}

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C

\frac{5 π}{4}

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D

\frac{3 π}{4}

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Solution

The correct option is D $\frac{3 π}{4}$
${cot}^{- 1} (- 1) = π - {cot}^{- 1} (1) (∵ {cot}^{- 1} (- x) = π - {cot}^{- 1} (x), x \in R) \Rightarrow {cot}^{- 1} (- 1) = π - \frac{π}{4} = \frac{3 π}{4}$

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Argument of a Complex Number

Standard XII Mathematics

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