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: Complex Numbers Problems: HELP NEEDED FOR MY FINAL EXAM ? 
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#1
May1308, 12:32 PM

P: 4

Q1: Write the numbers in the form a+b:
i) (2+3i)/(1+2i)  (8+i)/(6i) ii) [(2+i)/(6i(12i))]^2 Q2: Simplify: i) i^11 ii) i^203 Q3: Show that the points: 1, 1/2 + (i*squareroot(3))/2, 1/2  (i*squareroot(3))/2 are the vertexes of an equilateral triangle. Q4: Describe: i)  2Z  i = 4 ii)  Z  = 3 Z  1 Q5: Write in Polar Form: i) (1+i)/[squareroot(3)1] ii) 2*squareroot(3)  2i iii) (1i) (squareroot(3)*i) iv) (1 + squareroot(3)*i)/(2+2i) Can you please show detailed solution for each one because I don't get the lesson.. I don't have that part in my book, and it is included in my final exam after 3 days. I hope you can help me..Thanks alot in advance! 


#2
May1308, 12:38 PM

HW Helper
P: 2,616

I seriously doubt anyone will help you if you don't show your attempt.



#3
May1308, 12:43 PM

P: 4

The usual method of Q1. is to multiply each fraction by the conjugate of the denominator in order to give it a real denominator... but can you please show me one solution so that I make sure?
For 2. To use the fact that i^2n = 1 For 3, To show that the distances between each point on the complex plane are equal.. but how? On Q4, No idea Q5 No idea 


#4
May1308, 12:47 PM

Mentor
P: 8,306

: Complex Numbers Problems: HELP NEEDED FOR MY FINAL EXAM ?



#5
May1308, 12:48 PM

HW Helper
PF Gold
P: 1,961

Whats the distance between the origin and [tex] a + ib [/tex]?



#6
May1308, 01:30 PM

P: 4

The distance between the origin and a + ib = a + bi = sqrt(a^2 + b^2)



#7
May1308, 01:36 PM

HW Helper
PF Gold
P: 1,961

So, whats the distance between two arbitrary points, a +ib and c +id?



#8
May1308, 02:30 PM

P: 63

What about i^4 ? i^4 = (i^2)^2 = (1)^2 = ??? 


#9
Oct109, 11:20 PM

P: 1

hey,in urgent need ,got exams tomorrow
can anyone help with these ques, if sin(a+ic)=tanb+isecb,prove that cos2acosh2c=3 


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