Integration problem calculus

**danny88** · January 29th 2013, 03:16 PM

Hi, I needed some help with this math problem. A solution would be really appreciated.

If

, then there is a unique real number

such that

Express

as a rational function of

and

.

**Plato** · January 29th 2013, 03:28 PM

Originally Posted by danny88

, then there is a unique real number

such that

Express

as a rational function of

and

.

Hints: you have $\arctan(x)+\arctan(y)=\arctan(z)$

So $\tan(a+b)=z$

**danny88** · January 29th 2013, 03:39 PM

I really don't get the next step

**Plato** · January 29th 2013, 03:47 PM

Originally Posted by danny88

I really don't get the next step

What is $\tan(a+b)=$$

**danny88** · January 29th 2013, 03:51 PM

sin(A+B)/cos(A+B)

**Plato** · January 29th 2013, 04:02 PM

Originally Posted by danny88

sin(A+B)/cos(A+B)

That does you no good!

$\tan(a+b)=\frac{\tan(a)+\tan(b)}{1-\tan(a)\tan(b)}$ .

Clearly $a=\arctan(x)$ .

If you are still confused, then it is time to leave this site and seek live instruction from your instructor.

**danny88** · January 31st 2013, 03:22 PM

Thank you

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