What is the value of 4(cos((3pi)/2)+isin((3pi)/2)) ?

The value of 4(cos((3pi)/2)+isin((3pi)/2)) is -4i

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

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

- 4 i

Solution steps

4 (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

= 4 (0 + i (- 1))

Simplify

= - 4 i

arctan (\frac{30}{20})

5 cos (2)

- sin (\frac{π}{3}) + i (1 - cos (\frac{π}{3}))

csc (67 5^{\circ})

700 \cdot cos (3 8^{\circ})

What is the value of 4(cos((3pi)/2)+isin((3pi)/2)) ?
The value of 4(cos((3pi)/2)+isin((3pi)/2)) is -4i