Question
In Problems 43-54, write each expression in the standard form $a+b i$.$\left[\sqrt{3}\left(\cos 10^{\circ}+i \sin 10^{\circ}\right)\right]^6$
Step 1
First, we can use the trigonometric identity $e^{i\theta} = \cos \theta + i \sin \theta$ to rewrite the expression as: $\sqrt{3} \left(e^{i10^\circ}\right)^6$ Show more…
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Write each expression in the standard form $a+b i$ $$ \left[\sqrt{3}\left(\cos 10^{\circ}+i \sin 10^{\circ}\right)\right]^{6} $$
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