What is tan(2x+pi/3) ?

The solution to tan(2x+pi/3) is (1/2 sin(2x)+(sqrt(3))/2 cos(2x))/(1/2 cos(2x)-(sqrt(3))/2 sin(2x))

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simplify tan(2x+pi/3)

simplify

tan (2 x + \frac{π}{3})

\frac{\frac{1}{2} sin ( 2 x ) + \frac{3}{2} cos ( 2 x )}{\frac{1}{2} cos ( 2 x ) - \frac{3}{2} sin ( 2 x )}

Solution steps

tan (2 x + \frac{π}{3})

Rewrite using trig identities

= \frac{\frac{1}{2} sin ( 2 x ) + \frac{3}{2} cos ( 2 x )}{\frac{1}{2} cos ( 2 x ) - \frac{3}{2} sin ( 2 x )}

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What is tan(2x+pi/3) ?
The solution to tan(2x+pi/3) is (1/2 sin(2x)+(sqrt(3))/2 cos(2x))/(1/2 cos(2x)-(sqrt(3))/2 sin(2x))