What is the general solution for sqrt(3)tan(x-pi/5)-1=0 ?

The general solution for sqrt(3)tan(x-pi/5)-1=0 is x=pin+(11pi)/(30)

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sqrt(3)tan(x-pi/5)-1=0

3 tan (x - \frac{π}{5}) - 1 = 0

x = πn + \frac{11 π}{30}

Solution steps

3 tan (x - \frac{π}{5}) - 1 = 0

Move

1

to the right side

3 tan (x - \frac{π}{5}) = 1

Divide both sides by

3

tan (x - \frac{π}{5}) = \frac{3}{3}

General solutions for

tan (x - \frac{π}{5}) = \frac{3}{3}

x - \frac{π}{5} = \frac{π}{6} + πn

Solve

x - \frac{π}{5} = \frac{π}{6} + πn : x = πn + \frac{11 π}{30}

x = πn + \frac{11 π}{30}

x, 0 = 4 - \frac{1}{cos ^{2} ( x )}

tan (θ) = \frac{17}{12}

csc^{2} (θ) = 2 cot (θ)

tan (2 x) = + \frac{8}{15}

sin (θ) = \frac{7}{25}, cos (\frac{θ}{2}), 0^{\circ} < θ < 9 0^{\circ}

What is the general solution for sqrt(3)tan(x-pi/5)-1=0 ?
The general solution for sqrt(3)tan(x-pi/5)-1=0 is x=pin+(11pi)/(30)