Express -3 - 1 - i -3 - 1-2 -2 in the modulus-amplitude form

The correct option is B cos 5 π/12 + i sin 5 π/12 Simplifying, we get nbsp; √(3) 12√(2)+i(√(3)+1)2√(2) =(cos30^0cos45^0 sin30^0sin45^0)+i(co ...

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Question

Express $\frac{\sqrt{3} - 1 + i (\sqrt{3} + 1)}{2 \sqrt{2}}$ in the modulus-amplitude form

c o s \frac{7 π}{24} + i s i n \frac{7 π}{24}

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c o s \frac{5 π}{12} + i s i n \frac{5 π}{12}

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c o s \frac{7 π}{12} + i s i n \frac{7 π}{12}

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c o s \frac{5 π}{24} + i s i n \frac{5 π}{24}

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\frac{sin \frac{7 π}{24} + sin \frac{5 π}{24} + sin \frac{9 π}{24} + sin \frac{3 π}{24}}{cos \frac{7 π}{24} + cos \frac{5 π}{24} + cos \frac{9 π}{24} + cos \frac{3 π}{24}}

\sqrt{2} [cos \frac{5 π}{3} + i sin \frac{5 π}{3}]

I_{n} = 1 \int 0 ({cos}^{- 1} x)^{n} d x,

I_{4}

z_{1} = 1 - i

z_{2} = \sqrt{3} + i

z_{1} \cdot z_{2}

t^{24}

(1 + t^{2})^{12} (1 + t^{12}) (1 + t^{24})

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