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miley28
what is the value of tan(15/2)?? ..plz help!
|dw:1359868581635:dw| i havent dont this for a while but like.... tan(15/2) would get some random number if thats what it wants and or
the ans is \[2\sqrt{2}-(1+\sqrt{3})/\sqrt{3}-1\]
but i need an xplanation for this ans please...
sorry it is actually whole divided by\[(\sqrt{3}-1)\]
we can obtain value \(\tan 15\) from \[\tan(45-30)=\frac{\tan45-\tan30}{1+\tan45\tan30} = \frac{1-\frac{1}{\sqrt{3}}}{1+\frac{1}{\sqrt{3}}}=\frac{\sqrt{3}-1}{\sqrt{3}+1}=2-\sqrt{3}\] now, to obtain \(\tan7.5\) we use \[\tan15=\frac{2\tan7.5}{1-\tan^27.5}\] which can solve by Quadratic formula