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Mathematics: Post your doubts here!

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Can anyone solve this identity for me? cos4x-4cos2x+3=8sin^4x

cos4x - 4cos2x + 3
cos(2x+2x) - 4( 1- 2sin^2x) + 3
cos2xcos2x-sin2xsin2x -4 + 8sin^2x +3
(1-2sin^2x)^2 - (2sinxcosx)^2 + 8sin^2x -1
1-4sin^2x+4sin^4x - 4sin^2x(1-sin^2x) + 8sin^2x -1
4sin^2x + 4sin^4x - 4sin^2x + 4sin^4x
8sin^4x

I may have skipped a few steps but remember you have to replace all the cos with sin, wherever you can.
 
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1/sin2x = 1/cosx + cosx/sinx
1/2sinxcosx = (sinx+cos^2x)/cosxsinx
1/2 = sinx + (1-sin^2x)
1/2 = sinx - sin^2x +1

Now I'm sure you can solve the quadratic equation :)
Argh! we had to use both the sides?! I was only using/solving LHS to prove RHS?! :(
Thanks a lot Esme!! :D
Jazak Allah khair!
 
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Will we get full marks if we got our final answer correct but very short working? It is 6 marks but I got correct? Or you have to do the long way? Like if Find length AB given the line r=something and meets at plane p at A and plane q at B. Find AB length (June 2010 paper 32)
 
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Hi. I need to know when we use vector cross product and what the reason for using it is. What is the outcome of doing vector product?
Thanks in advance.
-Arjun
 
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Sum of (fx) / sum of (f) = 27.5
(10+15f+330+240)/ 17+f
580+15f = (17+f)*(27.5)
580+15f = 467.5 + 27.5f
112.5 = 12.5f
f = 9

Total number of children = 2+9+11+4 = 26
Thanx sis for that, the pro is i know the method, however, i was using 4.5 rather than 5, 14.5 rather than 15 etc
so my qn is how do i know when i am supposed to use what, coz there are some circumstances when we'd have to use the 4.5 rather than 5 etc.
 
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Hi. I need to know when we use vector cross product and what the reason for using it is. What is the outcome of doing vector product?
Thanks in advance.
-Arjun
 
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Will we get full marks if we got our final answer correct but very short working? It is 6 marks but I got correct? Or you have to do the long way? Like if Find length AB given the line r=something and meets at plane p at A and plane q at B. Find AB length (June 2010 paper 32)

It's better you show all the steps for whichever method you choose. Because with vectors there's always more than one way to obtain answer. You can do whatever way seems easy or short to you but show how you've done it.
 
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