What is the value of 4(cos(60)+isin(60)) ?

The value of 4(cos(60)+isin(60)) is 2+2sqrt(3)i

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4(cos(60)+isin(60))

4 (cos (6 0^{\circ}) + i sin (6 0^{\circ}))

2 + 23 i

Solution steps

4 (cos (6 0^{\circ}) + i sin (6 0^{\circ}))

Use the following trivial identity:

cos (6 0^{\circ}) = \frac{1}{2}

Use the following trivial identity:

sin (6 0^{\circ}) = \frac{3}{2}

= 4 (\frac{1}{2} + i \frac{3}{2})

Simplify

4 (\frac{1}{2} + i \frac{3}{2}) : 2 + 23 i

= 2 + 23 i

tan (- 96 0^{\circ})

400 cos (4 0^{\circ}) sin (5 0^{\circ})

sin (\frac{5}{4})

arctan (\frac{1.08}{9.8} + 0.1)

\frac{sec ( 5 π )}{4}

What is the value of 4(cos(60)+isin(60)) ?
The value of 4(cos(60)+isin(60)) is 2+2sqrt(3)i