What is the general solution for 2cot(x)+4=6 ?

The general solution for 2cot(x)+4=6 is x= pi/4+pin

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2cot(x)+4=6

2 cot (x) + 4 = 6

x = \frac{π}{4} + πn

Degrees

x = 4 5^{\circ} + 18 0^{\circ} n

Solution steps

2 cot (x) + 4 = 6

Move

4

to the right side

2 cot (x) + 4 = 6

Subtract

4

from both sides

2 cot (x) + 4 - 4 = 6 - 4

Simplify

2 cot (x) = 2

2 cot (x) = 2

Divide both sides by

2

2 cot (x) = 2

Divide both sides by

2

\frac{2 cot ( x )}{2} = \frac{2}{2}

Simplify

cot (x) = 1

cot (x) = 1

General solutions for

cot (x) = 1

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}{4} + πn

x = \frac{π}{4} + πn

sin (θ) = \frac{20 N}{35 N}

22 sin (θ) + 2 = 0

2 sin (2 θ) = 2 cos (θ)

1 + 3 tan (\frac{2 x - π}{3}) = 0

tan (3 x) = tan (π x)

What is the general solution for 2cot(x)+4=6 ?
The general solution for 2cot(x)+4=6 is x= pi/4+pin