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
\(\frac{2}{\sqrt{3}}\)
correct option: b
\(\frac{tan60^o - tan30^o}{tan60^o + tan30^o}\) = \(\frac{\sqrt{3} - \frac{1}{\sqrt{3}}}{\sqrt{3} - \frac{1}{\sqrt{3}}}\)
= \(\frac{3 - 1}{3 + 1}\)
= \(\frac{2}{4}\)
= \(\frac{1}{2}\)
= \(\frac{3 - 1}{3 + 1}\)
= \(\frac{2}{4}\)
= \(\frac{1}{2}\)
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