I have some problems calculating problems like:

arctan 2 + arctan 3 (answer cannot contain cyclometric functions)

arctan(1+sqrt(2)) + arctan(1-sqrt(2)) (answer cannot contain cyclometric functions)

Any hint would be appreciated.

Printable View

- February 8th 2010, 07:30 PMSaboNeed help with arctan
I have some problems calculating problems like:

arctan 2 + arctan 3 (answer cannot contain cyclometric functions)

arctan(1+sqrt(2)) + arctan(1-sqrt(2)) (answer cannot contain cyclometric functions)

Any hint would be appreciated. - February 8th 2010, 09:54 PMSoroban
Hello, Sabo!

I'll do the first one.

I assume you know: .

Quote:

Evaluate: .

Let: .

Then: .

. . . . .

Therefore: .

- February 8th 2010, 10:10 PMSabo
Ah, so simple. Well, it usually is, isn't it? =)

Thanks a lot!