# If $\tan(60\degree - A = a; \tan(60\degree + A) = b;$ and $\tan3A = c;$ then $\tan A = ?$ Option 1) $\frac{c}{4ab}$ Option 2) $\frac{4c}{ab}$ Option 3) $\frac{c}{ab}$ Option 4) None of these

H Himanshu

As we have learnt,

Results of Triple Angle Formula -

$\tan 3A= \tan \left ( 60^{\circ}-A \right )\tan A\tan \left ( 60^{\circ}+A \right )$

- wherein

Where A is the angle.

$c = ab\tan A \Rightarrow \tan A = \frac{c}{ab}$

Option 1)

$\frac{c}{4ab}$

Option 2)

$\frac{4c}{ab}$

Option 3)

$\frac{c}{ab}$

Option 4)

None of these

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