tan60=2tan30degree/1minustansquare30degree
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=2tan30°/1-tan²30°
=2(sin30°/cos30°)/1- (sin²30°/cos²30°)
=2sin30°cos30°/cos²30°-sin²30°
=sin2(30°)/cos2(30°)
=tan2(30°)
=tan60°
Therefore, 2tan30°/1-tan²30° = tan60°
=2(sin30°/cos30°)/1- (sin²30°/cos²30°)
=2sin30°cos30°/cos²30°-sin²30°
=sin2(30°)/cos2(30°)
=tan2(30°)
=tan60°
Therefore, 2tan30°/1-tan²30° = tan60°
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