Question

The value of $\frac{4(cos{75}^{\circ }+isin{75}^{\circ })}{0.4(cos{30}^{\circ }+isin{30}^{\circ })}$ is

• A.
• B.
• C.
• D.

Answer 1

The correct option is D

$\frac{4(cos{75}^{\circ }+isin{75}^{\circ })}{0.4(cos{30}^{\circ }+isin{30}^{\circ })}$

=10(cos${75}^{\circ }$+ isin${75}^{\circ }$) (cos${30}^{\circ }$ - isin${30}^{\circ }$)

=10(cos${45}^{\circ }$ + isin${45}^{\circ }$) = $\frac{10}{\sqrt[2]{22}}$(i+1)