What is the general solution for 4csc(x)+8=0 ?

The general solution for 4csc(x)+8=0 is x=(7pi)/6+2pin,x=(11pi)/6+2pin

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4csc(x)+8=0

4 csc (x) + 8 = 0

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

Solution steps

4 csc (x) + 8 = 0

Move

8

to the right side

4 csc (x) = - 8

Divide both sides by

4

csc (x) = - 2

General solutions for

csc (x) = - 2

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

2 cos (2 θ) + 3 = 2

sin (\frac{3 π}{2} - 2 x) = sin (x)

α, sin (α) - sin (β) = cos (β) - cos (α)

- \frac{6}{7} = tan (t)

sin (2 x) = 3

What is the general solution for 4csc(x)+8=0 ?
The general solution for 4csc(x)+8=0 is x=(7pi)/6+2pin,x=(11pi)/6+2pin