Question

The complex number -5i has the complex trigonometric form of 5(cos 270° + isin270º)

Determine if the statement given is true or false.

Answer 1

True

Explanation:

Evaluating the proposed trigonometric form, we get ...

5(cos(270°) +i·sin(270°))

= 5·cos(270°) +5i·sin(270°)

= 5·0 +5i·(-2)

= 5i

The statement is true.