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Write the following complex number in standard form, z = a + bi. Write the exact answer. Do not round.cos(#) + isin(%)

Write the following complex number in standard form, z = a + bi. Write the exact answer-example-1
User Carvellis
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1 Answer

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Notice that pi/6 radians are equal to 30°; on the other hand, 30° is an inner angle of the triangle shown below

Thus, from the diagram above,


\begin{gathered} \Rightarrow sin(30\degree)=sin((\pi)/(6))=((1)/(2))/(1)=(1)/(2) \\ and \\ cos(30\degree)=cos((\pi)/(6))=((√(3))/(2))/(1)=(√(3))/(2) \end{gathered}

Therefore, finding z,


\Rightarrow z=(√(3))/(2)+(1)/(2)*i

The answer is sqrt(3)/2+i/2

Write the following complex number in standard form, z = a + bi. Write the exact answer-example-1
User Naresh Babu
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