anonymous
  • anonymous
Identity problem #2: sin^3 - 8/sin - 2 = sin^2 + 2sin + 4
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
sin^4-8-2sin=sin^2+2sin+4.....
anonymous
  • anonymous
subtract
anonymous
  • anonymous
wait....nevermind these are proofs not equations...give me a minute.

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anonymous
  • anonymous
Okay, take your time. XD
anonymous
  • anonymous
this is a tough one......
anonymous
  • anonymous
they are fun though..give a minute....
amistre64
  • amistre64
sin^3 - 8 -------- = sin^2 + 2sin + 4 ?? is this right? sin - 2
amistre64
  • amistre64
the top is a difference of cubes.....
amistre64
  • amistre64
(sin-2) (sin^2 +2sin +4) ------------------- (sin-2)
anonymous
  • anonymous
really? i dont see that?
amistre64
  • amistre64
sin^3 - 2^3.... plain as day :)
anonymous
  • anonymous
yeah, but what about 1/sin?
amistre64
  • amistre64
there is no 1/sin.... which problem you doin? :)
anonymous
  • anonymous
same one, 8/sin
amistre64
  • amistre64
nah.... that aint it.....
amistre64
  • amistre64
(sin^3 - 8)/(sin - 2) = sin^2 + 2sin + 4
anonymous
  • anonymous
there are no parentheses in the problem, so im assuming that it means -8/sin
amistre64
  • amistre64
then it aint gonna work out :) Have a crack at it, but its futile.....
anonymous
  • anonymous
It's (sin^3 - 8)/(sin-2)
anonymous
  • anonymous
oh.....ok. You were right. My bad. sorry.
amistre64
  • amistre64
'sok :) Blame it on the rain :)
anonymous
  • anonymous
cool.
anonymous
  • anonymous
How does a difference of cubes work? Can you show me it in detail?
amistre64
  • amistre64
The best way to understand it is to actually multiply a cubed expression like (a-b)^3
amistre64
  • amistre64
Which of course is just (a-b)^2 times (a-b)
amistre64
  • amistre64
Ack!!...splained it wrong lol (a-b)(a^2 + ab + b^2)
amistre64
  • amistre64
suppose you have an expression like this (f = first and l = last): (f^3 - l^3) can be factored: (f-l)(f^2 +fl +l^2)
anonymous
  • anonymous
So what would be a and b? I'm sorry, I'm no good at this stuff. Thanks for helping though!
amistre64
  • amistre64
Lets use some numbers: x^2 - 64 is a good example: 4*4*4 = 64 = 4^3 x^3 - 4^3 can be factored like this: (x-4)(x^2 +4x + 4^2)
amistre64
  • amistre64
that should have been x^3 - 64....
amistre64
  • amistre64
many centuries ago, mathmatickers noticed patterns in the way certain forms worked; and they surmised these tricks to help them solve the stuff quicker....
anonymous
  • anonymous
Wow, I get it now! Thanks soooo much!!
amistre64
  • amistre64
good job... I gotta be going home now.... Ciao :)
anonymous
  • anonymous
Night!

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