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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3cot(x)-sqrt(3)=0

3 cot (x) - 3 = 0

x = \frac{π}{3} + πn

Degrees

x = 6 0^{\circ} + 18 0^{\circ} n

Solution steps

3 cot (x) - 3 = 0

Move

3

to the right side

3 cot (x) - 3 = 0

Add

3

to both sides

3 cot (x) - 3 + 3 = 0 + 3

Simplify

3 cot (x) = 3

3 cot (x) = 3

Divide both sides by

3

3 cot (x) = 3

Divide both sides by

3

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

Simplify

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

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

General solutions for

cot (x) = \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 = \frac{π}{3} + πn

x = \frac{π}{3} + πn

cot (3 x) = \frac{3}{3}, 0 \leq x \leq 2 π

csc^{2} (θ) + 7 csc (θ) + 12 = 0

2 sin (x) + (2 - 2) = 2 csc (x)

3 cos (5 x) = 2

2 sin^{2} (θ) + cos (θ) - 1 = 0

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