What is the value of 5(cos(pi/6)+isin(pi/6)) ?

The value of 5(cos(pi/6)+isin(pi/6)) is (5sqrt(3))/2+i 5/2

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5(cos(pi/6)+isin(pi/6))

5 (cos (\frac{π}{6}) + i sin (\frac{π}{6}))

\frac{5 3}{2} + i \frac{5}{2}

Solution steps

5 (cos (\frac{π}{6}) + i sin (\frac{π}{6}))

Use the following trivial identity:

cos (\frac{π}{6}) = \frac{3}{2}

Use the following trivial identity:

sin (\frac{π}{6}) = \frac{1}{2}

= 5 (\frac{3}{2} + i \frac{1}{2})

Simplify

5 (\frac{3}{2} + i \frac{1}{2}) : \frac{5 3}{2} + i \frac{5}{2}

= \frac{5 3}{2} + i \frac{5}{2}

(cos (\frac{π}{3}))^{2} + (sin (\frac{π}{3}))^{2}

arcsin (\frac{25}{30.8})

- 30 sin (3 0^{\circ})

43 cos (\frac{4 π}{3})

\frac{28.2 8 ^{2} ( sin ^{2} ( 29. 7 ^{\circ} ) )}{2 \cdot 9.8}

What is the value of 5(cos(pi/6)+isin(pi/6)) ?
The value of 5(cos(pi/6)+isin(pi/6)) is (5sqrt(3))/2+i 5/2