What is the general solution for 3cot(1/4 x)=sqrt(3) ?

The general solution for 3cot(1/4 x)=sqrt(3) is x=(4pi)/3+4pin

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3cot(1/4 x)=sqrt(3)

3 cot (\frac{1}{4} x) = 3

x = \frac{4 π}{3} + 4 πn

Solution steps

3 cot (\frac{1}{4} x) = 3

Divide both sides by

3

cot (\frac{1}{4} x) = \frac{3}{3}

General solutions for

cot (\frac{1}{4} x) = \frac{3}{3}

\frac{1}{4} x = \frac{π}{3} + πn

Solve

\frac{1}{4} x = \frac{π}{3} + πn : x = \frac{4 π}{3} + 4 πn

x = \frac{4 π}{3} + 4 πn

4 sin (x) - cos (2 x) = 1

2 sin^{2} (t) - 3 sin (t) + 1 = 0

5 sin (x) = 0

5 sin (x) = 4

5 sin (x) = 3

What is the general solution for 3cot(1/4 x)=sqrt(3) ?
The general solution for 3cot(1/4 x)=sqrt(3) is x=(4pi)/3+4pin