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

The general solution for cot(x)=sqrt(3) is x= pi/6+pin

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cot(x)=sqrt(3)

cot (x) = 3

x = \frac{π}{6} + πn

Degrees

x = 3 0^{\circ} + 18 0^{\circ} n

Solution steps

cot (x) = 3

General solutions for

cot (x) = 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 = \frac{π}{6} + πn

x = \frac{π}{6} + πn

4 sin (x) - 3 cos (x) = 5

x, 3 sin^{2} (x) = cos^{2} (x)

cos (4 0^{\circ})

2 sin (2 x) = sin (x)

sin (\frac{11 π}{4})

What is the general solution for cot(x)=sqrt(3) ?
The general solution for cot(x)=sqrt(3) is x= pi/6+pin