I need help with my calculus ISU, can someone help me out

jas397

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Jan 1, 2006
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13
prove each identity
a)tan(x)+cot(x)=(sec^2(x))(cotx)
b)(1/1+sec(x))+(1/1-sec(x))=(-2cot^2(x))
c)[(1-sin^2(x))(cos^2(x))]/cos^4(x)=tan^4(x)+tan^2(x)+1
d)[1+tan^2(x)]/[1+cot^2(x)]=[1-cos^2(x)/cos^2(x)]
 
What have you tried? How far have you gotten? Where are you stuck?

For instance, for the first one, you noted that the right-hand side looks a bit more complicated, so you turned that all into sines and cosines, and... then what?

Thank you.

Eliz.

Edit: Correcting spelling.
 
Re: I need help with my calculus ISU, can someone help me ou

jas397 said:
prove each identity
a)tan(x)+cot(x)=(sec^2(x))(cotx)
b)(1/1+sec(x))+(1/1-sec(x))=(-2cot^2(x))
c)[(1-sin^2(x))(cos^2(x))]/cos^4(x)=tan^4(x)+tan^2(x)+1
d)[1+tan^2(x)]/[1+cot^2(x)]=[1-cos^2(x)/cos^2(x)]

can some one solve them completely for me thanx
 
Re: "Do my homework for me!"

jas397 said:
can some one solve them completely for me thanx
Sorry, but not all of us "do" students' work for them. Besides, unless you're taking unsecured online tests, it's not like us doing your work for you is going to help much, right? You're the one who needs to be able to do these.

So try following the suggestion: Pick the more-complicated-looking side of a given equation (or flip a coin, if you're not sure or if they both look pretty equally icky), turn things into sines and cosines, apply some identities, and see where that leads you. There's no "rule" that says you "have" to do this, but it's a pretty consistently successful methodology.

How far can you get on these?

Eliz.
 
Re: "Do my homework for me!"

stapel said:
jas397 said:
can some one solve them completely for me thanx
Sorry, but not all of us "do" students' work for them. Besides, unless you're taking unsecured online tests, it's not like us doing your work for you is going to help much, right? You're the one who needs to be able to do these.

So try following the suggestion: Pick the more-complicated-looking side of a given equation (or flip a coin, if you're not sure or if they both look pretty equally icky), turn things into sines and cosines, apply some identities, and see where that leads you. There's no "rule" that says you "have" to do this, but it's a pretty consistently successful methodology.

How far can you get on these?

thnx that relly helped, now i know what im doin atlest

Eliz.
 
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