What is the value of 2(cos(pi/6)+isin(pi/6)) ?

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

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

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

3 + i

Solution steps

2 (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}

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

Simplify

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

= 3 + i

tan (7 π)

arcsin (0.29)

cot (\frac{3 π}{10})

cos (7) + cos (1 4^{\circ})

arctan (- \frac{3}{5})

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