If the j term and the real term are equal, the angle is
A) 45°
B) 90°
C) 180°
D) 360°

Question

Quizplus · Accepted Answer

When the imaginary part (j term) and the real part of a complex number are equal in magnitude, the angle with the real axis in the complex plane is 45°, assuming both parts are positive. This is derived from the definition of the argument of a complex number in polar form, where tan(θ) = imaginary part / real part. If both are equal, tan(θ) = 1, which corresponds to an angle θ = 45°.

If the J Term and the Real Term Are Equal