Question

Write the complex number in trigonometric form $r(\cos\theta + i\sin\theta)$, with $\theta$ in the interval $[0^\circ, 360^\circ)$. $2 - 2i$ $2 - 2i = \boxed{} (\cos \boxed{}^\circ + i \sin \boxed{}^\circ)$ (Type the value for r as an exact answer, using radicals as needed. Type the value for $\theta$ as an integer or decimal rounded to the nearest tenth as needed.)

          Write the complex number in trigonometric form $r(\cos\theta + i\sin\theta)$, with $\theta$ in the interval $[0^\circ, 360^\circ)$.

$2 - 2i$

$2 - 2i = \boxed{} (\cos \boxed{}^\circ + i \sin \boxed{}^\circ)$

(Type the value for r as an exact answer, using radicals as needed. Type the value for $\theta$ as an integer or decimal rounded to the nearest tenth as needed.)

Write the complex number in trigonometric form r(cosθ + isinθ), with θ in the interval [0^∘, 360^∘).

2 - 2i

2 - 2i = (cos^∘ + i sin^∘)

(Type the value for r as an exact answer, using radicals as needed. Type the value for θ as an integer or decimal rounded to the nearest tenth as needed.)

Added by Christine F.

Introductory and Intermediate Algebra for College Students 4th

Robert Blitzer 4th Edition

Instant Answer

Solved by Expert Sandip Ranjan

05/24/2022

Step 1

The magnitude of a complex number is given by the formula: |z| = sqrt(a^2 + b^2), where a and b are the real and imaginary parts of the complex number, respectively. In this case, the real part is 2 and the imaginary part is -2. So, the magnitude is: |r| = Show more…

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