Problem

Find the cube root of
\[
-27
\]
that graphs in the first quadrant.
\[
3\left(\cos [?]^{\circ}+i \sin [?]^{\circ}\right)
\]

Answer

Expert–verified

Hide Steps

Answer

\(z = 3(\cos[60^\circ] + i\sin[60^\circ])\)

Steps

Step 1 ：\(z^3 = -27\)

Step 2 ：\(z = -3(\cos[180^\circ] + i\sin[180^\circ])\)

Step 3 ：\(z = 3(\cos[60^\circ] + i\sin[60^\circ])\)

link_gpt

Popular Problems

Compute $\int_{0}^{\ln (2) / … Solve the triangle. \[ \mathr… QUESTION 2 - 1 POINT Solve th… 5. Suppose you are a computer… Answer the statistical measur… $(-\infty, 2) \cap(-6, \infty… A firm does not pay a dividen… Math 112 Section: 4. Tubercul… Find $y^{\prime}$ if $y=\ln \… 3. (3pts) Cherry trees in a c… More