• We need your support!

    We are currently struggling to cover the operational costs of Xtremepapers, as a result we might have to shut this website down. Please donate if we have helped you and help make a difference in other students' lives!
    Click here to Donate Now (View Announcement)

Mathematics: Post your doubts here!

Messages
177
Reaction score
30
Points
38
can anyone please explain about how to find arguments of a complex number :/ Please explain the method it would mean alot ! thanks !
 
Messages
155
Reaction score
65
Points
38
question 6 :
first: the area of the minor sector AOB =0.5 X 10^2 theta = 50 theta
the area of the major sector AOB = 0.5 X 10 ^2 X( 2 pi - theta) = 100 pi - 50 theta
the area of triangle AOB = 0.5 X 10^2 sin(theta) = 50 sin (theta)
area of the small segmant AB = area of minor sector AOB - area of triangle AOB
area of the large segmant AB = area of the major sector AOB + area of triangle AOB
now put them all together
50 theta - 50 sin( theta) = 0.25 X ( 11 pi - 50 theta + 50 sin (theta) )
50 theta - 50 sin(theta) = 25 pi - 12.5 theta +12.5 sin( theta)
62.5 theta = 25 pi + 62.5 sin (theta) ( divide by 62.5)
theta = 2/5 pi + sin (theta)
and continue normally

question 10 is answered here http://www.xtremepapers.com/community/threads/mathematics-post-your-doubts-here.9599/page-69
post 1366

how to do part ii of question 6
 
Messages
156
Reaction score
11
Points
18
assalamoalaikum wr wb!

alright...now u know the other angle would be 360 - 50.76 ...right? but that is out of the range given..now remember that in the fourth quadrant angle can either be 360 - x or alternatively be written as "-x "
so we have
(2x-71.6) = 50.76 and (2x-71.6) = - 50.76

that's how u'll get the other angle ;)
what should we do if Rsin(x-theeta) is the condition.How will we find the second answer in the range?
 
Messages
19
Reaction score
6
Points
3
Messages
463
Reaction score
549
Points
103
how to do part ii of question 6
u write the " 2/5 pi + sin (theta) " on your calculator , replacing theta with the value 2.1 and press = , write the answer correct to 3 decimal places , then replace the 2.1 value on your calculator , using the " ans" button , and get theta 3 , keep pressing = and writing down the values till they give u the same value correct to 2 decimal places , in this question it will be 2.11
now find AB using the cosin rule
AB^2 = OB^2 + OA ^2 - ( 2X OA X OB X cos (2.11) )
you'll get AB = 17.4
 
Messages
764
Reaction score
752
Points
103
Got it :) for the integral of 1/(a square+x square) the integral Wud b 1/a tan inverse of (x/a) +c
 
Messages
1,476
Reaction score
1,893
Points
173
i was just thinking of messaging you! could you please solve that integration question now? November 2011 paper 33 Q10
Still very difficult to show the solution here !
I have done the question, it is tricky but very easy.
 
Top