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

The general solution for sqrt(3)csc(2x)-2=0 is x= pi/6+pin,x= pi/3+pin

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

3 csc (2 x) - 2 = 0

x = \frac{π}{6} + πn, x = \frac{π}{3} + πn

Solution steps

3 csc (2 x) - 2 = 0

Move

2

to the right side

3 csc (2 x) = 2

Divide both sides by

3

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

General solutions for

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

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

Solve

2 x = \frac{π}{3} + 2 πn : x = \frac{π}{6} + πn

Solve

2 x = \frac{2 π}{3} + 2 πn : x = \frac{π}{3} + πn

x = \frac{π}{6} + πn, x = \frac{π}{3} + πn

cos (3 x) (2 cos (x) + 1) = 0

3 csc (θ) - 1 = 0

5 sin (x) tan (x) - 10 tan (x) + 3 sin (x) - 6 = 0

tan^{2} (x) + 2 tan (x) = 0

sin (2 x) + 3 sin (x) = 0

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