What is the general solution for 2=-4-3csc(θ) ?

The general solution for 2=-4-3csc(θ) is θ=(7pi)/6+2pin,θ=(11pi)/6+2pin

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2=-4-3csc(θ)

2 = - 4 - 3 csc (θ)

θ = \frac{7 π}{6} + 2 πn, θ = \frac{11 π}{6} + 2 πn

Solution steps

2 = - 4 - 3 csc (θ)

Switch sides

- 4 - 3 csc (θ) = 2

Move

4

to the right side

- 3 csc (θ) = 6

Divide both sides by

- 3

csc (θ) = - 2

General solutions for

csc (θ) = - 2

θ = \frac{7 π}{6} + 2 πn, θ = \frac{11 π}{6} + 2 πn

x, 3 tan (2 x) = - 1

1 + sin^{2} (x) = 0

2 sin^{2} (x) + 4 cos^{2} (x) = 1

- sin (θ) = \frac{n}{2} - 3

3 sin (θ) + 2 sin^{2} (θ) = - 1, 0 \leq θ < 2 π

What is the general solution for 2=-4-3csc(θ) ?
The general solution for 2=-4-3csc(θ) is θ=(7pi)/6+2pin,θ=(11pi)/6+2pin