How do you write the trigonometric form in complex form $3.75 (cos (\frac{π}{4}) + i sin (\frac{π}{4})))$ $3.75(cos((pi)/4)+isin((pi)/4)))$ ?

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How do you write the trigonometric form in complex form $3.75 (cos (\frac{π}{4}) + i sin (\frac{π}{4})))$ $3.75(cos((pi)/4)+isin((pi)/4)))$ ?

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Answer 1 · 2018-05-02T04:16:25

"Complex form" is a funny term; let's call it rectangular form. It's practically there, just multiply:

$3.75 (cos (\frac{π}{4}) + i sin (\frac{π}{4})) = 3.75 (\frac{\sqrt{2}}{2} + i \frac{\sqrt{2}}{2})$ $3.75 (cos (\pi/4) + i sin (pi/4)) = 3.75 (\sqrt{2}/2 + i \sqrt{2}/2)$

$= 1.875 \sqrt{2} + 1.875 sqrt{2} \ i$

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How do you write the trigonometric form in complex form $3.75 (cos (\frac{π}{4}) + i sin (\frac{π}{4})))$ $3.75(cos((pi)/4)+isin((pi)/4)))$ ?

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How do you write the trigonometric form in complex form $3.75 (cos (\frac{π}{4}) + i sin (\frac{π}{4})))$ $3.75(cos((pi)/4)+isin((pi)/4)))$ ?