Answer: true
Step-by-step explanation:
The polar cordinates are (6, pi/2)
We know that a imaginary number can be written, in polar cordinates (R, θ)
Z = R*(cos(θ) + i*sin(θ))
Then, the point (6, pi/2) is:
Z = 6*(cos(pi/2) + i*sin(pi/2)) = 6i
The other representation is (a, b) and in this case the imaginary number is
Z = a + b*i
In this case we have (0, 6) so:
Z = 0 + 6*i
Then you can see that the statement is true,
