If -z-4 and arg z-4- then z is-

The correct option is B z = |z|(cos θ + isin θ) ...

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Trigonometric Ratios of Multiples of an Angle

If |z|=4 and ...

Question

If |z| = 4 and arg z = - $\frac{π}{4}$ , then z is:

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None of these

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Solution

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Similar questions

\frac{π}{4}

(z + i) -

(z - i)

= \frac{π}{2}

z

z = \frac{cos θ + i sin θ}{cos θ - i sin θ}, \frac{π}{4} < θ < \frac{π}{2}

z

z

a r g [z - (1 + i)] = {\begin{matrix} 3 π / 4 & w h e n | z | \leq | z - 2 | - π / 4 & w h e n | z | > | z - 4 | \end{matrix}

z

[z - (1 + i)]

⎧ ⎪ ⎪ ⎨ ⎪ ⎪ ⎩ \begin{matrix} \frac{3 π}{4} & w h e n & | z | \leq | z - 2 | \frac{- π}{4} & w h e n & | z | > | z - 4 | \end{matrix}

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