What is tan(x+pi/6) ?

The solution to tan(x+pi/6) is (1+sqrt(3)tan(x))/(sqrt(3)-tan(x))

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simplify tan(x+pi/6)

simplify

tan (x + \frac{π}{6})

\frac{1 + 3 tan ( x )}{3 - tan ( x )}

Solution steps

tan (x + \frac{π}{6})

Rewrite using trig identities

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

Rewrite using trig identities

= \frac{1 + 3 tan ( x )}{3 - tan ( x )}

ln (csc (- cot (x)))

cos (\frac{π}{2} - t)

tan (arcsec (2 x))

4 sin (\frac{π}{2} x - π) - 2

What is tan(x+pi/6) ?
The solution to tan(x+pi/6) is (1+sqrt(3)tan(x))/(sqrt(3)-tan(x))