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

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

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

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

x = \frac{4 π}{3} + 4 πn

Solution steps

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

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

2 sin (\frac{π}{4} - x) + 3 = 0

3.1 = 48.1 (1 - cos (\frac{28.66 x}{48.1}))

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

2 cos^{2} (x) + 6 = 7

3 sin (θ) - 2 = 0

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