What is the value of 2(cos((3pi)/2)+isin((3pi)/2)) ?

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

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2(cos((3pi)/2)+isin((3pi)/2))

2 (cos (\frac{3 π}{2}) + i sin (\frac{3 π}{2}))

- 2 i

Solution steps

2 (cos (\frac{3 π}{2}) + i sin (\frac{3 π}{2}))

Rewrite using trig identities:

cos (\frac{3 π}{2}) = 0

Rewrite using trig identities:

sin (\frac{3 π}{2}) = - 1

= 2 (0 + i (- 1))

Simplify

= - 2 i

arctan (\frac{- 3}{2})

sin (87 0^{\circ})

arctan (\frac{- 3.4}{3.6})

arctan (\frac{\frac{2}{2}}{\frac{2}{2}})

\frac{17}{tan ( 3 0 ^{\circ} )}

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