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

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

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-2+cot(θ)=-3

- 2 + cot (θ) = - 3

θ = \frac{3 π}{4} + πn

Degrees

θ = 13 5^{\circ} + 18 0^{\circ} n

Solution steps

- 2 + cot (θ) = - 3

Move

2

to the right side

- 2 + cot (θ) = - 3

Add

2

to both sides

- 2 + cot (θ) + 2 = - 3 + 2

Simplify

cot (θ) = - 1

cot (θ) = - 1

General solutions for

cot (θ) = - 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

θ = \frac{3 π}{4} + πn

θ = \frac{3 π}{4} + πn

sin^{2} (x) + sin (x) = 0, 0 \leq x \leq 2 π

\frac{1}{tan ( x )} = - 1

64 cosh^{4} (x) - 64 cosh^{2} (x) - 9 = 0

1 + cos (θ) = 1

tan (2 θ) = 0.4

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