Math Problem Statement

Convert the complex number z = 8 + 6j into polar form.

Solution

It seems you've uploaded an image containing steps for converting a complex number into polar form.

The image shows a complex number z=8+6jz = 8 + 6j and its conversion into polar form. Let's break down the process:

  1. Complex Number:
    The given complex number is z=8+6jz = 8 + 6j, where x=8x = 8 (real part) and y=6y = 6 (imaginary part).

  2. **Magnitude (

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Complex Numbers
Polar Form Conversion
Trigonometry

Formulas

Magnitude: r = sqrt(x^2 + y^2)
Angle: θ = tan^(-1)(y/x)
Polar Form: z = r(cos θ + i sin θ)

Theorems

Pythagoras Theorem for Magnitude Calculation

Suitable Grade Level

Grades 9-12