How do you write the trigonometric form in complex form $5 (cos (\frac{3 π}{4}) + i sin (\frac{3 π}{4})))$ $5(cos((3pi)/4)+isin((3pi)/4)))$ ?

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Answer 1 · 2018-07-10T16:12:48

$\Rightarrow - 3.5355 + 3.5355 i$ $color(maroon)(=> -3.5355 + 3.5355 i$

$5 (cos (\frac{3 π}{4}) + i sin (\frac{3 π}{4}))$ $5 (cos ((3pi)/4) + i sin ((3pi)/4))$

$\Rightarrow 5 cos (\frac{3 π}{4}) + i 5 sin (\frac{3 π}{4})$ $=> 5 cos ((3pi)/4) + i 5 sin((3pi)/4)$

$\Rightarrow - 3.5355 + 3.5355 i$ $color(maroon)(=> -3.5355 + 3.5355 i$

How do you write the trigonometric form in complex form 5(cos((3pi)/4)+isin((3pi)/4)))5(cos(3π4)+isin(3π4)))5(cos((3pi)/4)+isin((3pi)/4)))?