Answer:
[tex]\|r\| = 32[/tex], [tex]\theta = 0\,rad[/tex]
Step-by-step explanation:
This complex expression is computed from the De Moivre expression:
[tex]z^{5} = 32\cdot (\cos 5x + i \cdot \sin 5x)[/tex]
Given that resultant expression is entirely real, the expression is simplified into this form:
[tex]32 = 32\cdot \cos 5x[/tex]
[tex]\cos 5x = 1[/tex]
The angle is 0 radians.
