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

The general solution for cot^2(2x-pi/3)= 1/3 is x= pi/3+(pin)/2 ,x=(pin)/2+pi/2

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cot^2(2x-pi/3)= 1/3

cot^{2} (2 x - \frac{π}{3}) = \frac{1}{3}

x = \frac{π}{3} + \frac{πn}{2}, x = \frac{πn}{2} + \frac{π}{2}

Solution steps

cot^{2} (2 x - \frac{π}{3}) = \frac{1}{3}

Solve by substitution

cot (2 x - \frac{π}{3}) = \frac{1}{3}, cot (2 x - \frac{π}{3}) = - \frac{1}{3}

cot (2 x - \frac{π}{3}) = \frac{1}{3} : x = \frac{π}{3} + \frac{πn}{2}

cot (2 x - \frac{π}{3}) = - \frac{1}{3} : x = \frac{πn}{2} + \frac{π}{2}

Combine all the solutions

x = \frac{π}{3} + \frac{πn}{2}, x = \frac{πn}{2} + \frac{π}{2}

sin (2 x) = 0.8, - 18 0^{\circ} \leq x \leq 18 0^{\circ}

\frac{tan ( x )}{1 + tan ( x )} = 0

1 - cos (x) + sin (x) = 0

\frac{12000}{2 \cdot 6380} = tan (\frac{9 0 ^{\circ} - u}{2})

cos^{2} (t) - 3 sin (t) = 3

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