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Mathematics
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OpenStudy (anonymous):
The equation... :)
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OpenStudy (anonymous):
|dw:1368461991317:dw|
OpenStudy (anonymous):
what do u think @terenzreignz ? :)
terenzreignz (terenzreignz):
Wrong. This time, I'm sure...
\[\Large \tan(\alpha + \beta) = \frac{\tan(\alpha) + \tan(\beta)}{1-\tan(\alpha)\tan(\beta)}\]
OpenStudy (anonymous):
hhaa okay :P darn :(
OpenStudy (anonymous):
okay, so i'm looking for something that follows that format right?
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terenzreignz (terenzreignz):
incidentally, you'd do well to recall that
\[\Large \tan \ \frac \pi 6 = \frac1{\sqrt3}\]
OpenStudy (anonymous):
haha yeah :P
terenzreignz (terenzreignz):
So following that rule, we have
\[\large \tan \left(x + \frac \pi 6\right)= \frac{\tan(x) +\tan \frac \pi 6}{1-\tan(x)\tan\left(\frac \pi 6\right)}\]
OpenStudy (anonymous):
okay, so that simplifies to tan(x)+1/sq.rt. 3 / 1-tan(x)(1/sq.rt. 3 ??
terenzreignz (terenzreignz):
That's right... so multiply it by \(\Large \frac{\sqrt 3}{\sqrt 3}\)
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OpenStudy (anonymous):
oh wait sorry haha so it's between B and D then? :/
terenzreignz (terenzreignz):
Which one? You can't have both...
OpenStudy (anonymous):
i think it's D... is that right? :)
terenzreignz (terenzreignz):
Yeah.
OpenStudy (anonymous):
awesome! haha thanks a bunch!! :D
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