Asked by Anonymous
Find the quotient of the following expression: 7(cos 5pi/6 +isin 5pi/6) / -2(cos pi/2 +isin pi/2)
I got -7/4+ 7 square root 3/4 i. Is this correct?
I got -7/4+ 7 square root 3/4 i. Is this correct?
Answers
Answered by
Reiny
7(cos 5pi/6 +isin 5pi/6) / -2(cos pi/2 +isin pi/2)
= 7(-√3/2 + i/2) / (-2(0 + i))
= (7/2)( -√3 + i) / (-2i) * i/i
= (7/2)(-√3i + i^2)/(-2i^2)
= (7/2)(-1 - √3 i)/2
= (-7/4)(1 + √3 i)
your 7 square root 3/4 i part is ambiguous, it needs brackets to properly place the order of operation
I think you might have it correct
check my arithmetic, I should have written it out on paper for easier reading
= 7(-√3/2 + i/2) / (-2(0 + i))
= (7/2)( -√3 + i) / (-2i) * i/i
= (7/2)(-√3i + i^2)/(-2i^2)
= (7/2)(-1 - √3 i)/2
= (-7/4)(1 + √3 i)
your 7 square root 3/4 i part is ambiguous, it needs brackets to properly place the order of operation
I think you might have it correct
check my arithmetic, I should have written it out on paper for easier reading
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