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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

 

Answers (1)

best_answer

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

Posted by

Himanshu

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