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

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

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cot(x-2)=-(sqrt(3))/3

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

x = \frac{2 π}{3} + πn + 2

Degrees

x = 234.59155 \dots^{\circ} + 18 0^{\circ} n

Solution steps

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

General solutions for

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

cot (x)

periodicity table with

πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} cot (x) \mp \infty 31 \frac{3}{3} 0 - \frac{3}{3} - 1 - 3

x - 2 = \frac{2 π}{3} + πn

x - 2 = \frac{2 π}{3} + πn

Solve

x - 2 = \frac{2 π}{3} + πn : x = \frac{2 π}{3} + πn + 2

x - 2 = \frac{2 π}{3} + πn

Move

2

to the right side

x - 2 = \frac{2 π}{3} + πn

Add

2

to both sides

x - 2 + 2 = \frac{2 π}{3} + πn + 2

Simplify

x = \frac{2 π}{3} + πn + 2

x = \frac{2 π}{3} + πn + 2

x = \frac{2 π}{3} + πn + 2

cosh (x) + 4 sinh (x) + 2 = 0

cos (b) = \frac{5}{13}

x, sin (x) = \frac{1}{3}

tan (A) = \frac{5}{12}

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

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