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Posts: 879

Tommorow I have a test for Trig but my teacher gave us one problem to do on our own as homework and bring it in for credit on the test. Can anyone prove this problem and explain how they did it?This is the problem:

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"So many people live within unhappy circumstances and yet will not take the initiative to change their situation because they are conditioned to a life of security, conformity, and conservatism." - Christopher McCandless

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I can't remember how to do any of those god awful trig proofs.

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SohCahToa

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i think if anyone can read that they should get extra credit

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www.wolframalpha.com

it does trigonometry and shows the work

it does trigonometry and shows the work

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Posts: 879

I wrote it in Paint really quickly with my laptop touch pad ahha

The revolution will be televised.

"So many people live within unhappy circumstances and yet will not take the initiative to change their situation because they are conditioned to a life of security, conformity, and conservatism." - Christopher McCandless

"So many people live within unhappy circumstances and yet will not take the initiative to change their situation because they are conditioned to a life of security, conformity, and conservatism." - Christopher McCandless

Posts: 7795

I'm going to do this for you because it's starting to get on my nerves that no one has done it yet.

SKOLOLOLOLOLOLOL

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I'm trying it and it is not going so well. . .

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fuck this one is hard and im in calc!

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MHSSC www.mthood.com

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SKOLOLOLOLOLOLOL

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Jesus, not another bunch of stoner kids making the ugliest shit they can possibly imagine......... - uni-corn

"yes. this is ********. i was born twice, my brother has two buttholes, and i just got my period on robs bed." -anonymous

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Posts: 879

I get everything you did up until the last 2 steps. It looks like you switched cot^2 x/cos x to the other side? You can't do that can you?

The revolution will be televised.

"So many people live within unhappy circumstances and yet will not take the initiative to change their situation because they are conditioned to a life of security, conformity, and conservatism." - Christopher McCandless

"So many people live within unhappy circumstances and yet will not take the initiative to change their situation because they are conditioned to a life of security, conformity, and conservatism." - Christopher McCandless

Posts: 8185

What the fuck kind of voodoo shit did you pull there?

there are much better things to do with your life than spend it ruining others. -wh@t

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Posts: 7795

Just so you know, I switched cot^2 into cos^2/sin^2 pretty early on, so I'm not sure what you are referring to

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"yes. this is ********. i was born twice, my brother has two buttholes, and i just got my period on robs bed." -anonymous

Posts: 118

is there any given about csc^2-1 equalling something? there prolly is.

Posts: 879

I mean cos^2 x/sin^2 x

"So many people live within unhappy circumstances and yet will not take the initiative to change their situation because they are conditioned to a life of security, conformity, and conservatism." - Christopher McCandless

Posts: 8185

It is equal to cot^2 and than you have to separate that into cos^2/sin^2 and cancel out one of the cos...I am still trying to figure out how to deal with the 1/1+cosx

there are much better things to do with your life than spend it ruining others. -wh@t

Skiing is an art form, an escape from all things bad, skiing is perfect, skiing is my obsession.

Love is the amazing shivers you get when you're silently slipping through trees on a powder day, that overwhelming feeling of contentment where your heart beats a little faster and louder. That unmistakable grin of happiness that you can't shake off. It's unconditional, it's unbeatable, it's compassion and it's adventure.

Skiing is an art form, an escape from all things bad, skiing is perfect, skiing is my obsession.

Love is the amazing shivers you get when you're silently slipping through trees on a powder day, that overwhelming feeling of contentment where your heart beats a little faster and louder. That unmistakable grin of happiness that you can't shake off. It's unconditional, it's unbeatable, it's compassion and it's adventure.

Posts: 100

You can, but you don't have to. Sorry for lack of pictures, but instead of moving it to the other side, you can just give it a common denominator. So multiply the 1/(1+cosx) by sin^2x/sin^2x and then multiply the cosx/sin^2x by 1+cosx/1+cosx. Then combined youll have sin^2x+cosx+cos^2x all over sin^2x(1+cosx). In the numerator, the sin^2x and cos^2x will add to one (original identity. So you're left with 1+cosx over sin^2x(1+cosx), the 1+cosx's will cancel out leaving you with 1/sin^2x which is equal to csc^2x. Hopefully you can follow all this mumbo jumbo

Posts: 2839

cross multiply on the last step and you get 1-cos^2x=sin^2x, which you know is true because sin^2x+cos^2x=1

i didn't really get what he was doing in the right corner, specifically the part where 1/(1+cosx) turns into 1, but other than that its legit. so follow his method until the last line, then add my step before u get to the right corner, and that should work

i didn't really get what he was doing in the right corner, specifically the part where 1/(1+cosx) turns into 1, but other than that its legit. so follow his method until the last line, then add my step before u get to the right corner, and that should work

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Posts: 8185

Yah he did some weird shit but I haven't done trig stuff in forever except fucking trig subs in Calc and a bunch of integrals/derivatives for trig functions which is honestly the worst math shit ever. Besides sequences.

there are much better things to do with your life than spend it ruining others. -wh@t

Skiing is an art form, an escape from all things bad, skiing is perfect, skiing is my obsession.

Love is the amazing shivers you get when you're silently slipping through trees on a powder day, that overwhelming feeling of contentment where your heart beats a little faster and louder. That unmistakable grin of happiness that you can't shake off. It's unconditional, it's unbeatable, it's compassion and it's adventure.

Skiing is an art form, an escape from all things bad, skiing is perfect, skiing is my obsession.

Love is the amazing shivers you get when you're silently slipping through trees on a powder day, that overwhelming feeling of contentment where your heart beats a little faster and louder. That unmistakable grin of happiness that you can't shake off. It's unconditional, it's unbeatable, it's compassion and it's adventure.

Posts: 879

thank you this helped me out a lot. i get it now that you explained it this way +k

"So many people live within unhappy circumstances and yet will not take the initiative to change their situation because they are conditioned to a life of security, conformity, and conservatism." - Christopher McCandless

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i havent had to do math in 3 years and im boarderline retarded at it but trig was the easyest shit i have ever had to do, its just reapeating formulas

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He got one by multiplying the right hand side by 1+cosx, which is the reason the numerator on the right hand side becomes 1-cos^2x. (1+cosx)(1-cosx) "foils" to 1-cos^2x, or is just recognized as the factored form of a difference of two perfect squares.

Posts: 879

No need to do the work, I got it now. But I dont get it, my teacher said you can only work at one side at a time, i dont get how theyre using both sides

"So many people live within unhappy circumstances and yet will not take the initiative to change their situation because they are conditioned to a life of security, conformity, and conservatism." - Christopher McCandless

Posts: 7795

for the last step, when you get to: 1/1+cosx = 1-cosx/sin^2 multiply both sides by 1+cosx

now you've got 1 = (1-cosx)(1+cosx)/sin^2

multiply both of those together and you get: 1 = 1-cos^2/sin^2

now use the equation sin^2 + cos^2 = 1 to justify that 1-cos^2 = sin^2

so now you have 1 = sin^2/sin^2

thus 1=1

now you've got 1 = (1-cosx)(1+cosx)/sin^2

multiply both of those together and you get: 1 = 1-cos^2/sin^2

now use the equation sin^2 + cos^2 = 1 to justify that 1-cos^2 = sin^2

so now you have 1 = sin^2/sin^2

thus 1=1

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Posts: 8185

You didn't do it right...you were supposed to show that the left right equaled csc^2 not that 1 = 1 but I see how it makes sense what you did but I don't think it is what would be an acceptable answer even though it is technically right.

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Love is the amazing shivers you get when you're silently slipping through trees on a powder day, that overwhelming feeling of contentment where your heart beats a little faster and louder. That unmistakable grin of happiness that you can't shake off. It's unconditional, it's unbeatable, it's compassion and it's adventure.

Posts: 100

yeah the teacher I had let us work on both sides, but there is one at my school that restricts it to only working on one side, figured your's was the same way

Posts: 2025

There are many ways to do it, sometimes its easier only to work on one side of the equation, sometimes on the other, sometimes on both at the same time. Here is a exemple only working on the left side of the equation:

With csc^2=1+cot^2 and sin^2+cos^2=1:

1/(1+cos) + (csc^2 -1)/cos = **(Note: csc^2=1+cot^2)

1/(1+cos) + cot^2/cos =

1/(1+cos) + cos/sin^2 =

sin^2/(1+cos)*(sin^2) + (1+cos)*cos/(1+cos)*(sin^2) =

sin^2 +cos^2 +cos / sin^2*(1+cos) =

(1+cos) /sin^2*(1+cos) = **(Note: sin^2+cos^2=1)

1/sin^2= csc^2

Hope it will help. Good luck.

Posts: 118

the answer is you can't.

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