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Find the value of frac tan60 o - tan30 o tan60 ... - JAMB Mathematics 2007 Question

Find the value of (\frac{tan60^o - tan30^o}{tan60^o + tan30^o})

A
1
B
\(\frac{1}{2}\)
C
\(\frac{3}{\sqrt{3}}\)
D
\(\frac{2}{\sqrt{3}}\)
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Correct Option: B

(\frac{tan60^o - tan30^o}{tan60^o + tan30^o}) = (\frac{\sqrt{3} - \frac{1}{\sqrt{3}}}{\sqrt{3} - \frac{1}{\sqrt{3}}})

= (\frac{3 - 1}{3 + 1})

= (\frac{2}{4})

= (\frac{1}{2})

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