What is the value of 10(cos(pi/3)+isin(pi/3)) ?

The value of 10(cos(pi/3)+isin(pi/3)) is 5+5sqrt(3)i

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10(cos(pi/3)+isin(pi/3))

10 (cos (\frac{π}{3}) + i sin (\frac{π}{3}))

5 + 53 i

Solution steps

10 (cos (\frac{π}{3}) + i sin (\frac{π}{3}))

Use the following trivial identity:

cos (\frac{π}{3}) = \frac{1}{2}

Use the following trivial identity:

sin (\frac{π}{3}) = \frac{3}{2}

= 10 (\frac{1}{2} + i \frac{3}{2})

Simplify

10 (\frac{1}{2} + i \frac{3}{2}) : 5 + 53 i

= 5 + 53 i

ln (sin (\frac{3 π}{4}))

sin (\frac{49 π}{6})

arccsc (- 4.563)

\frac{720 sin ( 1 6 ^{\circ} )}{sin ( 1 )}

cos (2 \cdot arccos (1))

What is the value of 10(cos(pi/3)+isin(pi/3)) ?
The value of 10(cos(pi/3)+isin(pi/3)) is 5+5sqrt(3)i