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find all the roots to the equation: z^3 = 1 + i in polar form

1st write 1+ i in polar form, sketch a diagram to find the angle ( =pi/4) and find the modulus ( sqrt(2))z^3 = Sqrt(2) E^ipi/4This is true for all equivalent solutions (add 2kpi) z^3 = sqrt(2)e^(pi/4 +2kp...

RM
10785 Views

How do I know which out of the Sine and Cosine rule I should use?

If you look at the formulae for the Sine and Cosine rules you'll see that the Sine rule involves two angles and two sides and the Cosine rule involves one angle and three sides.So have a look at the probl...

JH
Answered by Julian H. Maths tutor
5539 Views

Find an expression in terms of powers of cos(x) for cos(5x)

De Moivre's theorem states that eix= cos(x) + isin(x) or that ei5x= cos(5x)+ isin(5x). If the real components of both sides of this equation is taken we can see that : cos(5x) = Re[e...

AA
Answered by Arnav A. Maths tutor
7519 Views

What is the difference between Reverse osmosis and osmosis?

Osmosis is a natural phenomenon where the water molecules will seep through the semipermeable membrane separating 2 compartments, from an area of lower concentration to the area of higher concentration un...

KK
8619 Views

How do I choose the essay I want to do for the LNAT?

So, you get an option of 5 essays when you do the LNAT. The first thing to do is to skim all of them. Immediately, you'll be able to discount one or two - maybe they sound boring, maybe you've never heard...

RG
Answered by Ruchika G. LNAT tutor
2247 Views

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