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

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

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sqrt(3)=cot(q)

3 = cot (q)

q = \frac{π}{6} + πn

Degrees

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

Solution steps

3 = cot (q)

Switch sides

cot (q) = 3

General solutions for

cot (q) = 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

q = \frac{π}{6} + πn

q = \frac{π}{6} + πn

sin (t) + cos (2 t) = 0

cos (θ) = \frac{2}{3}, \frac{sin ( θ )}{2}, 27 0^{\circ} < θ < 36 0^{\circ}

cos (9 x) = 0

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

5 cot (θ) = - 6

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