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A math problem; That made meh shit bricks :(
Topic Started: Feb 9 2009, 02:26 AM (513 Views)
Xiphirx
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I've been trying to solve this Trig Identity for 2 hours (and counting)...

I am very good at these types of problems but this problem is just that one that the textbook authors put it to make you shit bricks.

Anywho,

(sinx - cosx + 1) / (sinx + cosx -1) = (sinx + 1) / (cosx)

This IS true, I checked on my graphing calculator.

Any help?
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nataku92
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[(sinx - cosx + 1) / (sinx + cosx - 1)] * [(sinx + cosx + 1)/(sinx + cosx + 1)]
= [sin^2 x - cos^2 x + sinx + cosx + sinx - cosx + 1]/[(sinx+cosx)^2 - 1]
= [sin^2 x - cos^2 x + 2sinx + sin^2 x + 1]/[sin^2 x + 2sinxcosx + cos^2 x - 1]
= [sin^2 x - (1 - sin^2x) + 2sinx + sin^2 x + 1]/[2sinxcosx]
= [2sin^2 x + 2sinx]/[2sinxcosx]
= [sinx + 1]/[cosx]

I only used sin^2 x + cos^2 x = 1, so it's probably cleaner and easier if you used other identities.
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Xiphirx
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nataku92
Feb 8 2009, 10:44 PM
[(sinx - cosx + 1) / (sinx + cosx - 1)] * [(sinx + cosx + 1)/(sinx + cosx + 1)]
= [sin^2 x - cos^2 x + sinx + cosx + sinx - cosx + 1]/[(sinx+cosx)^2 - 1]
= [sin^2 x - cos^2 x + 2sinx + sin^2 x + 1]/[sin^2 x + 2sinxcosx + cos^2 x - 1]
= [sin^2 x - (1 - sin^2x) + 2sinx + sin^2 x + 1]/[2sinxcosx]
= [2sin^2 x + 2sinx]/[2sinxcosx]
= [sinx + 1]/[cosx]

I only used sin^2 x + cos^2 x = 1, so it's probably cleaner and easier if you used other identities.

Huh, that never crossed my mind :D

Thank you <3
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PiStOlS
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You guys are smart ass muthrfuckas.... I couldn't have even tried to solve that... Wow...
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Xiphirx
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PiStOlS
Feb 9 2009, 01:53 PM
You guys are smart ass muthrfuckas.... I couldn't have even tried to solve that... Wow...

It really isn't as hard as it looks.

Just wait until you take Honors Pre Calculus
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PiStOlS
AoD ftw?
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Im going into 9th grade and I'm taking 10th grade Geometry =]
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FoShizzle17
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I'm in accelerated algebra 2 now so I'm not familiar with those kind of problems lol
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MiLkY JoE
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Asians and their math honors. ;)
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deAfF
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Xiphirx
Feb 9 2009, 04:54 PM
PiStOlS
Feb 9 2009, 01:53 PM
You guys are smart ass muthrfuckas.... I couldn't have even tried to solve that... Wow...

It really isn't as hard as it looks.

Just wait until you take Honors Pre Calculus

Yeah I'm in that, you taking AP Calculus next year?
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Spartan
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Yay, me too, im in Precalc Hon, and going into AP Calc next year!

Hey deAfF/Xiph, You guys done half angles yet? THe formulas are a bitch for those...
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Xiphirx
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Spartan
Feb 9 2009, 03:12 PM
Yay, me too, im in Precalc Hon, and going into AP Calc next year!

Hey deAfF/Xiph, You guys done half angles yet? THe formulas are a bitch for those...

Nah

Quote:
 
Yeah I'm in that, you taking AP Calculus next year?


Probably Calculus only... AP would like kill me :P

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Asians and their math honors.


Ask DubleFawk about the crazy Chinese math guy > . >
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deAfF
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Spartan
Feb 9 2009, 06:12 PM
Yay, me too, im in Precalc Hon, and going into AP Calc next year!

Hey deAfF/Xiph, You guys done half angles yet? THe formulas are a bitch for those...

Yeah no didn't do those yet :blink:
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Doublehawk
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Xiphirx
Feb 9 2009, 06:14 PM
Spartan
Feb 9 2009, 03:12 PM
Yay, me too, im in Precalc Hon, and going into AP Calc next year!

Hey deAfF/Xiph, You guys done half angles yet?  THe formulas are a bitch for those...

Nah

Quote:
 
Yeah I'm in that, you taking AP Calculus next year?


Probably Calculus only... AP would like kill me :P

Quote:
 
Asians and their math honors.


Ask DubleFawk about the crazy Chinese math guy > . >

:lol: Dead crazy chinese math guys FTW! I shouldve screened that convo, that was ownage..
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xXxSpectre@
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Well Nataku, strangely, has answered your problem so I'll close this topic.
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Xiphirx,Sep 27 2009
07:32 PM
AND I WOULD HAVE GOTTEN AWAY WITH IT IF IT WERENT FOR THOSE MEDDELING FRENCHIES!


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