Express ( frac{1}{3}left[cos frac{2 pi}{3}+i sin frac{2 pi}{3} ight] cdot 12left[cos frac{19 pi}{36}+i sin frac{19 pi}{36} ight] ) in the form ( a+b i ).
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Step 1
First, we can simplify the expression by multiplying the real parts and the imaginary parts separately: \( \frac{1}{3} \cdot 12 \left[\cos \frac{2 \pi}{3} \cos \frac{19 \pi}{36} - \sin \frac{2 \pi}{3} \sin \frac{19 \pi}{36}\right] + i \frac{1}{3} \cdot 12 Show more…
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