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 .
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Originally Posted by danny88 , then there is a unique real number such that Express as a rational function of and . Hints: you have $\displaystyle \arctan(x)+\arctan(y)=\arctan(z)$ So $\displaystyle \tan(a+b)=z$
I really don't get the next step
Originally Posted by danny88 I really don't get the next step What is $\displaystyle \tan(a+b)=$$
sin(A+B)/cos(A+B)
Originally Posted by danny88 sin(A+B)/cos(A+B) That does you no good! $\displaystyle \tan(a+b)=\frac{\tan(a)+\tan(b)}{1-\tan(a)\tan(b)}$. Clearly $\displaystyle a=\arctan(x)$. If you are still confused, then it is time to leave this site and seek live instruction from your instructor.
Thank you
Last edited by danny88; Jan 31st 2013 at 03:26 PM.
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