What is the general solution for solvefor x,h=tan(x-pi/6) ?

The general solution for solvefor x,h=tan(x-pi/6) is x=arctan(h)+pin+pi/6

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solvefor x,h=tan(x-pi/6)

solve for

x, h = tan (x - \frac{π}{6})

x = arctan (h) + πn + \frac{π}{6}

Solution steps

h = tan (x - \frac{π}{6})

Switch sides

tan (x - \frac{π}{6}) = h

Apply trig inverse properties

tan (x - \frac{π}{6}) = h

General solutions for

tan (x - \frac{π}{6}) = h

tan (x) = a \Rightarrow x = arctan (a) + πn

x - \frac{π}{6} = arctan (h) + πn

x - \frac{π}{6} = arctan (h) + πn

Solve

x - \frac{π}{6} = arctan (h) + πn : x = arctan (h) + πn + \frac{π}{6}

x - \frac{π}{6} = arctan (h) + πn

Move

\frac{π}{6}

to the right side

x - \frac{π}{6} = arctan (h) + πn

Add

\frac{π}{6}

to both sides

x - \frac{π}{6} + \frac{π}{6} = arctan (h) + πn + \frac{π}{6}

Simplify

x = arctan (h) + πn + \frac{π}{6}

x = arctan (h) + πn + \frac{π}{6}

x = arctan (h) + πn + \frac{π}{6}

sec (θ) + \frac{1}{cot ( θ )} = 1

(1 + 2 sin (2 θ))^{\frac{1}{3}} = 0

sin (\frac{x}{3}) cos (6 x) - cos (\frac{x}{3}) sin (6 x) = 0

6 sin (3 x) = 5

x, 4 sin^{2} (x) = 5 - 4 cos (x)

What is the general solution for solvefor x,h=tan(x-pi/6) ?
The general solution for solvefor x,h=tan(x-pi/6) is x=arctan(h)+pin+pi/6