What is the general solution for sqrt(3)csc(x)+2=0 ?

The general solution for sqrt(3)csc(x)+2=0 is x=(4pi)/3+2pin,x=(5pi)/3+2pin

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sqrt(3)csc(x)+2=0

3 csc (x) + 2 = 0

x = \frac{4 π}{3} + 2 πn, x = \frac{5 π}{3} + 2 πn

Solution steps

3 csc (x) + 2 = 0

Move

2

to the right side

3 csc (x) = - 2

Divide both sides by

3

csc (x) = - \frac{2 3}{3}

General solutions for

csc (x) = - \frac{2 3}{3}

x = \frac{4 π}{3} + 2 πn, x = \frac{5 π}{3} + 2 πn

2 cos^{2} (x) = sin (x) - 1

tan (2 x) = 5 sin (2 x)

2 sin^{2} (x) - 7 sin (x) - 4 = 0

2 cos (2 θ) + 1 = 0

(2 sin (x)) + 1 = 0

What is the general solution for sqrt(3)csc(x)+2=0 ?
The general solution for sqrt(3)csc(x)+2=0 is x=(4pi)/3+2pin,x=(5pi)/3+2pin