anonymous
  • anonymous
Please help me to prove Sin^2 -Cos^2 =1 .....
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
Sin^2(x)-Cos^2(x) does not equal one.
anonymous
  • anonymous
\[ \sin ^{2} - \cos ^{2} =1 \] Please Prove this....
anonymous
  • anonymous
\[\sin ^2(x)-\cos^2(x)\neq1\]

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anonymous
  • anonymous
But I ve got this from a web site.... Here's the address.... Please go there and see whats wrong with it... .... http://www.cramster.com/practice-problems-p25-0-0-0-0-0-39167-0-cpi0-0.aspx
anonymous
  • anonymous
Which number?
anonymous
  • anonymous
In the Practice-3 Question set.... number 4
anonymous
  • anonymous
\[\sin ^2(x)+\cos^2(x)=1\]\[\sin ^2(x)-\cos^2(x)=-\cos(2x)\]
anonymous
  • anonymous
Oh.... Friutless can you please explain this farther......
anonymous
  • anonymous
Which one?
anonymous
  • anonymous
Your reply for the Question I 've asked.....
anonymous
  • anonymous
ok well this can be proved for sin(x)^2 + cos(x)^2 = 1 because this identity is true. you want to prove this? THE IDENTITY sin(x)^2 - cos(x)^2 = 1 IS NOT TRUE. DON'T THINK ABOUT WHAT THE WEBSITE SAYS. IT IS NOT TRUE. PERIOD. what would you like help proving?
anonymous
  • anonymous
It is asking which one from the choices is correct. It is obviously not D.
anonymous
  • anonymous
(i) is the correct answer.
anonymous
  • anonymous
Ok prove this one then... \[\sin ^{8}A-\cos ^{8}A = (\sin ^{2}A-\cos ^{2}A) (1- 2 \sin ^{2}A \cos ^{2}A)\]
anonymous
  • anonymous
apply the FOIL method to the right side (expand it) \[-\cos^2(A)+\sin^2(A)+2 \cos^4(A) \sin^2(A)-2 Cos^2(A) Sin^4(A)\]
anonymous
  • anonymous
Replace the first two functions with an identity, and factor the rest.
anonymous
  • anonymous
Hmmmm.... friutless in which grade you're studying... ?
anonymous
  • anonymous
high school
anonymous
  • anonymous
In which country...?
anonymous
  • anonymous
usa
anonymous
  • anonymous
Really.... then I think you have done something similar to the syllbus of London A/L isn't you?
anonymous
  • anonymous
I am asking this from you because I am a student who has just started doing A/L s in Sri Lanka (somewhat similar to London A/L ). so I don't know the FOIL method..... So I can't understand you're reply.....
anonymous
  • anonymous
Given (x-a)(y-b), applying FOIL yeilds xy-xb-ay+ab
anonymous
  • anonymous
Do the same on the trigonometric expressions
anonymous
  • anonymous
wow... I've got the right teacher here... thank you....
anonymous
  • anonymous
did you get the left side from this method?
anonymous
  • anonymous
\[Sin ^{8}A-\cos ^{8}A=( \sin ^{2}A-\cos ^{2}A)(\sin ^{6}A+\cos ^{6}A)+\sin ^{2}Acos ^{6}A-\cos ^{2}Asin ^{6}A\] Here's what I've done....... but I've stucked in it please try this also....
anonymous
  • anonymous
Please help me......

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