anonymous
  • anonymous
Tell me what i'm doing wrong, picture is attached.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
1 Attachment
anonymous
  • anonymous
3rd to 4th line - the numerator shows s^3 but a c appeared
anonymous
  • anonymous
You also made a mistake on the RHS. You can't cross out the sin's and cos's like that.

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anonymous
  • anonymous
Instead there is a trig identity there.
anonymous
  • anonymous
how do i fix this ? :S
anonymous
  • anonymous
There is a trig identity on the RHS.
anonymous
  • anonymous
At the 4th line, try combining the denominator
anonymous
  • anonymous
|dw:1353385333795:dw|
anonymous
  • anonymous
Doesnt the denominator get cancelled out already ?
anonymous
  • anonymous
@Dido525 like this |dw:1353385466311:dw|
anonymous
  • anonymous
|dw:1353385495522:dw|
anonymous
  • anonymous
|dw:1353385573816:dw|
anonymous
  • anonymous
Yeah that's right.
anonymous
  • anonymous
For the left hand side, from the 3rd line, combine the denominator Then, factor the numerator This will allow you to use a trig identity to prove the original equation
anonymous
  • anonymous
I misread sorry.
anonymous
  • anonymous
it's okay, but is that way correct now ?
anonymous
  • anonymous
yes its right
anonymous
  • anonymous
Yes that is correct.
anonymous
  • anonymous
@Skaematik like this |dw:1353385871631:dw|
anonymous
  • anonymous
no
anonymous
  • anonymous
\[\frac{ s ^{4}+c ^{4}+2s ^{2}c ^{2} }{ cs }\]
anonymous
  • anonymous
i'm having difficulties seeing how it get's the fourth power, can you please explain
anonymous
  • anonymous
@burhan101 : TO be honest I would only change ONE side to try and make it equal to the other not manipulate both.
anonymous
  • anonymous
\[\frac{ s ^{2}s }{ c } + \frac{ c ^{2}c }{ s } + 2s\]
anonymous
  • anonymous
Make the denominator cs Multiply 1st term by s Multiply 2nd term by c Multiply 3rd term by cs
anonymous
  • anonymous
@dido525 changing the RHS is perfectly OK, in most cases it is actually the only way you can solve the problem without spending 234098723094 hours trying to go through ridiculous transformations
anonymous
  • anonymous
Meh.
anonymous
  • anonymous
@Dido525 yes, that's what my teacher want's us to try to do too, but im having alot of problems with this question, seems very complicated -.-
anonymous
  • anonymous
Ohh!!! Hold on I am getting close!
anonymous
  • anonymous
Okay :)
anonymous
  • anonymous
Got it!!!!!
anonymous
  • anonymous
And I only changed one side :) .
anonymous
  • anonymous
Okay. The idea is we want to start with the complicated side. Lets choose the left side.
anonymous
  • anonymous
Okay?
anonymous
  • anonymous
okay !
anonymous
  • anonymous
should we start fresh, from the given problem ?
anonymous
  • anonymous
yes :) .
anonymous
  • anonymous
Alrightt !
anonymous
  • anonymous
So we have: |dw:1353386616775:dw|
anonymous
  • anonymous
You know:|dw:1353386673693:dw|
anonymous
  • anonymous
yup
anonymous
  • anonymous
I would change the sin^2(x) and cos^2(x) To match that formula :) .
anonymous
  • anonymous
Ohhh okay !
anonymous
  • anonymous
Tell me what you get.
anonymous
  • anonymous
|dw:1353386849843:dw| DO we change that into a one, or no ?
anonymous
  • anonymous
i think i'm wrong -_-
anonymous
  • anonymous
No you do not change that to a one.
anonymous
  • anonymous
okay so first we change everything to sin & cos
anonymous
  • anonymous
Well if sin^2(x) + cos^(x) =1 that what is Sin^2(x) equal to?
anonymous
  • anonymous
No no!!!
anonymous
  • anonymous
We want to keep tan and cot.
anonymous
  • anonymous
why? that's how im taught to do it haha :$
anonymous
  • anonymous
it would be equal to 1/2
anonymous
  • anonymous
But since we have a tan and cot on the other side it's natural we want to keep it that way :P . I was taught that way too ^_^ . Sometiems we gotta break the rules.
anonymous
  • anonymous
ohhh alright, i see what you're saying
anonymous
  • anonymous
So what do you get? Feel free to do it on paper and take pics.
anonymous
  • anonymous
burhan, don't listen to him. You CAN change the right hand side (cot and tan). And sometimes you must. It makes no sense not to change them
anonymous
  • anonymous
@Skaematik : But his teacher wants him to only change one side.
anonymous
  • anonymous
It only took 4 steps lol @Skaematik .
anonymous
  • anonymous
1 Attachment
anonymous
  • anonymous
No....
anonymous
  • anonymous
@Skaematik i know i can but the thing is i have to do it my teacher's method or she takes off marks :(
anonymous
  • anonymous
@Dido525 oh no :(
anonymous
  • anonymous
sorry, im SO confused tho
anonymous
  • anonymous
|dw:1353387439718:dw|
anonymous
  • anonymous
:) .
anonymous
  • anonymous
I am SURE you can do the rest :) .
anonymous
  • anonymous
Expand it out and change the Tan(x) and Cot(x) into Sin's and cos's .
anonymous
  • anonymous
okay, i will try
anonymous
  • anonymous
|dw:1353387756754:dw|
anonymous
  • anonymous
multiply those like that ?
anonymous
  • anonymous
Yep!
anonymous
  • anonymous
like that :S
1 Attachment
anonymous
  • anonymous
Good but leave sin(x)/cos(x) as Tan(x) and the cos(x)/sin(x) as Cot(x) .
anonymous
  • anonymous
i can't i get marks taken off if i do, my teacher has a checklist that we MUST follow or she takes off marks :P
anonymous
  • anonymous
okay, i don't know what to do from here on
anonymous
  • anonymous
I would riot at the teacher TBH.
anonymous
  • anonymous
Okay then.
anonymous
  • anonymous
haha trust me me too :P
anonymous
  • anonymous
We can cancel out a cos(x) from the first fraction and a sin(x) from the other fraction. You notice that?
anonymous
  • anonymous
You have very neat handwriting Btw.
anonymous
  • anonymous
Thank-you :)
anonymous
  • anonymous
Like so :
1 Attachment
anonymous
  • anonymous
You Cannot do this!!!
anonymous
  • anonymous
ohh
anonymous
  • anonymous
|dw:1353388449271:dw| No!!!
anonymous
  • anonymous
then what do i cancel out . :S
anonymous
  • anonymous
You can only cancel out terms if they have the same common denominator. You do not have the same common denominator in this case :) .
anonymous
  • anonymous
oh yeah, wooops
anonymous
  • anonymous
|dw:1353388530585:dw|
anonymous
  • anonymous
I KNOW you can solve the rest!
anonymous
  • anonymous
does it look like this,
1 Attachment
anonymous
  • anonymous
Yep!
anonymous
  • anonymous
DO YOU NOTICE SOMETHING YOU CAN CANCEL?!?!!?!
anonymous
  • anonymous
So rry... I am a bit of a math freak lol.
anonymous
  • anonymous
i'm afraid not :(
anonymous
  • anonymous
Look harder!!! We have a 2Sin(x)scos(x) . We can eliminate that!!! We
anonymous
  • anonymous
Do you see how?!?!?!
anonymous
  • anonymous
sin^2x ?
anonymous
  • anonymous
No!!!
anonymous
  • anonymous
OH i think i see it
anonymous
  • anonymous
-sinxcosx+2sinxcosx= sinxcosx
anonymous
  • anonymous
VERY CLOSE!!!! We can get rid of that too!!!
anonymous
  • anonymous
ohh i see it again haha |dw:1353389264088:dw|
anonymous
  • anonymous
Yep!!!
anonymous
  • anonymous
Yaaay ! :D
anonymous
  • anonymous
So now we have: |dw:1353389317704:dw|
anonymous
  • anonymous
one ?
anonymous
  • anonymous
no
anonymous
  • anonymous
|dw:1353389480538:dw|
anonymous
  • anonymous
You know sin(x)/cos(x) is tan (x) :P .
anonymous
  • anonymous
yuppp & cosx/sinx = cot
anonymous
  • anonymous
GOod!
anonymous
  • anonymous
|dw:1353389561044:dw|
anonymous
  • anonymous
Hence proved :) .
anonymous
  • anonymous
THANKYOU ! i swear only you had the patience to help me for so long ^.^ :)
anonymous
  • anonymous
I remember I helped someone for 2 hour slol.
anonymous
  • anonymous
thanksss again :D i would give you a cookie if i could haha
anonymous
  • anonymous
I swear if the teacher takes marks off you need to protest. All of this is valid.
anonymous
  • anonymous
I don't think she will because i changed the format to accommodate how she likes to mark !

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