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

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

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-2+cot(x)=-3

- 2 + cot (x) = - 3

x = \frac{3 π}{4} + πn

Degrees

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

Solution steps

- 2 + cot (x) = - 3

Move

2

to the right side

- 2 + cot (x) = - 3

Add

2

to both sides

- 2 + cot (x) + 2 = - 3 + 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{3 π}{4} + πn

x = \frac{3 π}{4} + πn

θ, ρ = sin (φ) sin (θ)

3 cos^{2} (x) - 6 cos (x) = - 3, 0 \leq x \leq 2 π

csc (θ) + 2 = 0, 0 \leq θ \leq 2 π

sin^{2} (x) + 5 sin (x) - 3 = 0

2 - 3 sin (θ + \frac{4 π}{3}) = 2

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