why does ??

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- Feb 11th 2014, 06:15 PMJonroberts74arctan and arccot
why does ??

- Feb 11th 2014, 06:46 PMromsekRe: arctan and arccot
I get their difference is

so I wouldn't call them equal. Why do you think they are? - Feb 11th 2014, 07:01 PMJonroberts74Re: arctan and arccot
because and

- Feb 11th 2014, 08:09 PMromsekRe: arctan and arccot
Ok, I show that the derivatives of each of these expressions do indeed equal the integrand but remember that there is a constant of integration when you integrate. So the two expressions you have that integral equal to can in fact differ by a constant, which they apparently do.

- Feb 11th 2014, 09:28 PMJonroberts74Re: arctan and arccot
yeah I left out the constant because it's exactly that, some constant that they vary by.

- Feb 13th 2014, 10:46 AMebainesRe: arctan and arccot
Given any right angle triangle with legs A and B and hypotenuse C it's pretty easy to show that: . Hence .

- Feb 13th 2014, 12:19 PMBobPRe: arctan and arccot
Aren't arctan (B/A) and arccot(A/B) the same angle ?

- Feb 13th 2014, 01:31 PMebainesRe: arctan and arccot