What is the general solution for 6cot(x)+5=-1 ?

The general solution for 6cot(x)+5=-1 is x=(3pi)/4+pin

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6cot(x)+5=-1

6 cot (x) + 5 = - 1

x = \frac{3 π}{4} + πn

Degrees

x = 13 5^{\circ} + 18 0^{\circ} n

Solution steps

6 cot (x) + 5 = - 1

Move

5

to the right side

6 cot (x) + 5 = - 1

Subtract

5

from both sides

6 cot (x) + 5 - 5 = - 1 - 5

Simplify

6 cot (x) = - 6

6 cot (x) = - 6

Divide both sides by

6

6 cot (x) = - 6

Divide both sides by

6

\frac{6 cot ( x )}{6} = \frac{- 6}{6}

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{3 π}{4} + πn

x = \frac{3 π}{4} + πn

11 csc (x) + 15 = 9 csc (x) + 19

sin^{2} (x) = \frac{tan ( x )}{2}

98 \cdot sin (θ) - 19.6 \cdot cos (θ) = 75.1

\frac{( sin ( x ) + tan ( x ) )}{1 + cos ( x )} = m \cdot sec (x)

2 sin (2 x) - 2 sin (x) = 0

What is the general solution for 6cot(x)+5=-1 ?
The general solution for 6cot(x)+5=-1 is x=(3pi)/4+pin