What is tan(x-pi/6) ?

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

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simplify tan(x-pi/6)

simplify

tan (x - \frac{π}{6})

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

sec^{2} (5 x - I n (\frac{1}{x}))

sin (\frac{π}{2} + \frac{x}{2})

e^{x^{2}} + \frac{1}{sin ( x )} d x

sin (\frac{sin ( x )}{cos ( x )})

cos (2 π + θ)

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