What is the general solution for sqrt(3)cot((3pi)/7 x)+3=0 ?

The general solution for sqrt(3)cot((3pi)/7 x)+3=0 is x= 35/18+(7n)/3

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sqrt(3)cot((3pi)/7 x)+3=0

3 cot (\frac{3 π}{7} x) + 3 = 0

x = \frac{35}{18} + \frac{7 n}{3}

Solution steps

3 cot (\frac{3 π}{7} x) + 3 = 0

Move

3

to the right side

3 cot (\frac{3 π}{7} x) = - 3

Divide both sides by

3

cot (\frac{3 π}{7} x) = - 3

General solutions for

cot (\frac{3 π}{7} x) = - 3

\frac{3 π}{7} x = \frac{5 π}{6} + πn

Solve

\frac{3 π}{7} x = \frac{5 π}{6} + πn : x = \frac{35}{18} + \frac{7 n}{3}

x = \frac{35}{18} + \frac{7 n}{3}

sin (u) = 1

tan (x) - 1 = \frac{1}{3} - \frac{1}{3} cot (x)

22 cos (x) + 3 = 5

4 tan^{2} (x) + 14 tan (x) + 12 = 0

13 (1 - cos (θ)) = sin^{2} (θ)

What is the general solution for sqrt(3)cot((3pi)/7 x)+3=0 ?
The general solution for sqrt(3)cot((3pi)/7 x)+3=0 is x= 35/18+(7n)/3