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 cos (x) = tan (x)

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

sin^{3} (a) = 3 sin (a) - 4 sin^{3} (a)

cos (3 x) = \frac{3}{2}

sin (θ) + 2 sin (θ) cos (θ) = 0

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