What is the general solution for 0=cot(x) ?

The general solution for 0=cot(x) is x= pi/2+pin

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0=cot(x)

0 = cot (x)

x = \frac{π}{2} + πn

Degrees

x = 9 0^{\circ} + 18 0^{\circ} n

Solution steps

0 = cot (x)

Switch sides

cot (x) = 0

General solutions for

cot (x) = 0

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}{2} + πn

x = \frac{π}{2} + πn

sin^{2} (x) - 3 sin (x) - 2 = 0

- 11 tan (x) + 1 = - 2 (4 + tan (x))

16 = - 10 cos (\frac{2 π}{150} t) + 10

2 cos (x) - 3 = 0, 0 \leq x \leq 2 π

sec^{2} (x) - 1 = 0, 0 \leq x \leq 2 π

What is the general solution for 0=cot(x) ?
The general solution for 0=cot(x) is x= pi/2+pin