Question

What is the rectangular form of the complex number 50∠50°7.5-j10j2?

Answer 1

The rectangular form of the complex number is 50 * cos(50°) + (50 * sin(50°))i.

Step-by-step explanation:

The rectangular form of a complex number is expressed in terms of its real and imaginary parts. To convert the given complex number into a rectangular form, we can use the magnitude and angle provided.

Given: 50∠50°(7.5-j10∠2°)

To find the rectangular form, we can use the magnitude and angle:

Magnitude (R) = 50

Angle (θ) = 50°

Using the formula:

Real part (x) = Magnitude * cos(θ) = 50 * cos(50°)

Imaginary part (y) = Magnitude * sin(θ) = 50 * sin(50°)

Therefore, the rectangular form of the complex number is:

50 * cos(50°) + (50 * sin(50°))i