What is the value of 2(cos(30)+isin(30)) ?

The value of 2(cos(30)+isin(30)) is sqrt(3)+i

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2(cos(30)+isin(30))

2 (cos (3 0^{\circ}) + i sin (3 0^{\circ}))

3 + i

Solution steps

2 (cos (3 0^{\circ}) + i sin (3 0^{\circ}))

Use the following trivial identity:

cos (3 0^{\circ}) = \frac{3}{2}

Use the following trivial identity:

sin (3 0^{\circ}) = \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 (arcsin (\frac{7}{10}))

\frac{5}{cos ( 7 2 ^{\circ} )}

sin (- 6)

sin (2 i)

cos (\frac{5}{13} + \frac{3}{5})

What is the value of 2(cos(30)+isin(30)) ?
The value of 2(cos(30)+isin(30)) is sqrt(3)+i