Question on: JAMB Mathematics - 2007
Find the value of (\frac{tan 60^o - tan 30^o}{tan 60^o + tan 30^o})
A
\(\frac{4}{\sqrt{3}}\)
B
\(\frac{2}{\sqrt{3}}\)
C
1
D
\(\frac{1}{2}\)
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Correct Option: D
(\frac{tan 60^o - tan 30^o}{tan 60^o + tan 30^o}= \frac{\sqrt{3}-\frac{1}{\sqrt{3}}}{\sqrt{3}+\frac{1}{\sqrt{3}}}\
=\left(\frac{\sqrt{3}\sqrt{3}-1}{\sqrt{3}}\right)\div \left(\frac{\sqrt{3}\sqrt{3}+1}{\sqrt{3}}\right)\
=\frac{(3-1)}{(3+1)}\
=\frac{2}{4}=\frac{1}{2})
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