What is the general solution for cot^2(4x)=3 ?

The general solution for cot^2(4x)=3 is x= pi/(24)+(pin)/4 ,x=(5pi}{24}+\frac{pin)/4

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cot^2(4x)=3

cot^{2} (4 x) = 3

x = \frac{π}{24} + \frac{πn}{4}, x = \frac{5 π}{24} + \frac{πn}{4}

Solution steps

cot^{2} (4 x) = 3

Solve by substitution

cot (4 x) = 3, cot (4 x) = - 3

cot (4 x) = 3 : x = \frac{π}{24} + \frac{πn}{4}

cot (4 x) = - 3 : x = \frac{5 π}{24} + \frac{πn}{4}

Combine all the solutions

x = \frac{π}{24} + \frac{πn}{4}, x = \frac{5 π}{24} + \frac{πn}{4}

cos (x) tan (x) = cos (x)

tan (\frac{θ}{2} - \frac{π}{6}) = - 1

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

tan (θ) = \frac{2}{2} csc (θ)

2 sin (x) cos (x) = \frac{1}{2}

What is the general solution for cot^2(4x)=3 ?
The general solution for cot^2(4x)=3 is x= pi/(24)+(pin)/4 ,x=(5pi}{24}+\frac{pin)/4