What is the general solution for cot(θ)-sqrt(3)=0 ?

The general solution for cot(θ)-sqrt(3)=0 is θ= pi/6+pin

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cot(θ)-sqrt(3)=0

cot (θ) - 3 = 0

θ = \frac{π}{6} + πn

Degrees

θ = 3 0^{\circ} + 18 0^{\circ} n

Solution steps

cot (θ) - 3 = 0

Move

3

to the right side

cot (θ) - 3 = 0

Add

3

to both sides

cot (θ) - 3 + 3 = 0 + 3

Simplify

cot (θ) = 3

cot (θ) = 3

General solutions for

cot (θ) = 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

θ = \frac{π}{6} + πn

θ = \frac{π}{6} + πn

sin (4 0^{\circ})

2 cos (x + \frac{π}{6}) = 1, 0 < x < 2 π

tan (\frac{13 π}{4})

2 cos (x) + 3 = 0

sec^{2} (\frac{π}{4})

What is the general solution for cot(θ)-sqrt(3)=0 ?
The general solution for cot(θ)-sqrt(3)=0 is θ= pi/6+pin