Math Problem Statement

شوف صح ولا غلط

شوف صح ولا غلط

Solution

Let me review the content of the image for accuracy. I will extract the details and verify the mathematical correctness.


Given Information from the Image:

  1. The complex number z=8+6jz = 8 + 6j is represented in the rectangular form.

  2. x=8x = 8, y=6y = 6.

  3. Calculation of the modulus r=x2+y2r = \sqrt{x^2 + y^2}: r=82+62=64+36=100=10r = \sqrt{8^2 + 6^2} = \sqrt{64 + 36} = \sqrt{100} = 10 Correct.

  4. Calculation of the argument θ\theta using ( \tan^{-1}\left(\frac

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Math Problem Analysis

Mathematical Concepts

Complex Numbers
Polar Form Conversion

Formulas

Modulus of a complex number: r = √(x² + y²)
Argument of a complex number: θ = tan⁻¹(y/x)
Polar form: z = r(cosθ + isinθ)

Theorems

Trigonometric representation of complex numbers

Suitable Grade Level

Grades 11-12