What is the general solution for 3cot(x)+1=-2 ?

The general solution for 3cot(x)+1=-2 is x=(3pi)/4+pin

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3cot(x)+1=-2

3 cot (x) + 1 = - 2

x = \frac{3 π}{4} + πn

Solution steps

3 cot (x) + 1 = - 2

Move

1

to the right side

3 cot (x) = - 3

Divide both sides by

3

cot (x) = - 1

General solutions for

cot (x) = - 1

x = \frac{3 π}{4} + πn

sin^{2} (\frac{x}{2}) + cos (x) = 0

3 cos (x) + 1 = 1

sin (θ - \frac{π}{3}) + 1 = 0

tan^{2} (2 θ) = tan (2 θ)

2 cos (2 x) = 2 sin (x)

What is the general solution for 3cot(x)+1=-2 ?
The general solution for 3cot(x)+1=-2 is x=(3pi)/4+pin