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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 +2kpi)i...
RM
11130 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 problem ...
JH
Answered by Julian H. Maths tutor
5676 Views

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

De Moivre's theorem states that e ix = cos(x) + isin(x) or that e i5x = cos(5x)+ isin(5x). If the real components of both sides of this equation is taken we can see that : cos(5x) = Re[e i5x ] where Re means...
AA
Answered by Arnav A. Maths tutor
7751 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 until...
KK
8809 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 ab...
RG
Answered by Ruchika G. LNAT tutor
2325 Views