Problem

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

Solution

Step 1 :\(z^3 = -27\)

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

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

From Solvely APP
Source: https://solvelyapp.com/problems/34619/

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