What is the general solution for tan(x-pi/2)= 1/(sqrt(3)) ?

The general solution for tan(x-pi/2)= 1/(sqrt(3)) is x=pin+(2pi)/3

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tan(x-pi/2)= 1/(sqrt(3))

tan (x - \frac{π}{2}) = \frac{1}{3}

x = πn + \frac{2 π}{3}

Solution steps

tan (x - \frac{π}{2}) = \frac{1}{3}

Simplify

\frac{1}{3} : \frac{3}{3}

General solutions for

tan (x - \frac{π}{2}) = \frac{3}{3}

x - \frac{π}{2} = \frac{π}{6} + πn

Solve

x - \frac{π}{2} = \frac{π}{6} + πn : x = πn + \frac{2 π}{3}

x = πn + \frac{2 π}{3}

2 sin^{2} (x) + cos (x) + 1 = 0

3 tan (2 x) - 3 = 0

t, x = 2 sin (t)

11 - sin (θ) = cos (2 θ)

2 cos^{2} (x) - 5 cos (x) = - 2

What is the general solution for tan(x-pi/2)= 1/(sqrt(3)) ?
The general solution for tan(x-pi/2)= 1/(sqrt(3)) is x=pin+(2pi)/3