CPM Homework Help : PC Problem 11-71

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11-71.

Find the rectangular form of each complex number. Use exact values.

$z = 6(\cos(\frac { 5 \pi } { 6 })+ i \sin (\frac { 5 \pi } { 6 }))$
Step 1(a):
Substitute the exact values for sine and cosine of $5π/6$ .
Step 1 Answer:
$z=6\left( -\frac{\sqrt{3}}{2}+\frac{1}{2}i \right)$
Step 2(a):
Distribute.

$z = 7(\cos(\frac { 3 \pi } { 2 })+ i \sin(\frac { 3 \pi } { 2 }))$

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