What is tan(x-pi/6)-1 ?

The solution to tan(x-pi/6)-1 is ((sqrt(3))/2 sin(x)-1/2 cos(x))/((sqrt(3))/2 cos(x)+1/2 sin(x))-1

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simplify tan(x-pi/6)-1

simplify

tan (x - \frac{π}{6}) - 1

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

Solution steps

tan (x - \frac{π}{6}) - 1

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 )} - 1

tan (\frac{π}{4} - arctan (x))

csc (\frac{π}{2} - θ)

cos (\frac{π}{2} + π \frac{n}{2})

cos (3 t - \frac{π}{2})

cos (3 x + \frac{π}{4})

What is tan(x-pi/6)-1 ?
The solution to tan(x-pi/6)-1 is ((sqrt(3))/2 sin(x)-1/2 cos(x))/((sqrt(3))/2 cos(x)+1/2 sin(x))-1