What is the general solution for 6csc(θ)+6=0 ?

The general solution for 6csc(θ)+6=0 is θ=(3pi)/2+2pin

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6csc(θ)+6=0

6 csc (θ) + 6 = 0

θ = \frac{3 π}{2} + 2 πn

Solution steps

6 csc (θ) + 6 = 0

Move

6

to the right side

6 csc (θ) = - 6

Divide both sides by

6

csc (θ) = - 1

General solutions for

csc (θ) = - 1

θ = \frac{3 π}{2} + 2 πn

sec^{2} (θ) - sec (θ) - 2 = 0

sin (2 θ) = sin (θ) cos (θ)

4 + 4 cos (θ) = - 6 cos (θ)

- \frac{1}{2} + (cos (x))^{2} + (cos (\frac{x}{2}))^{2} = 0

cos (θ) = cos (2 θ)

What is the general solution for 6csc(θ)+6=0 ?
The general solution for 6csc(θ)+6=0 is θ=(3pi)/2+2pin