Math Problem Statement
Convert the complex number z = 8 + 6j into polar form.
Solution
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The image shows a complex number and its conversion into polar form. Let's break down the process:
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Complex Number:
The given complex number is , where (real part) and (imaginary part). -
**Magnitude (
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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