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

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

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

3 csc (x) - 23 = 0

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

Solution steps

3 csc (x) - 23 = 0

Move

23

to the right side

3 csc (x) = 23

Divide both sides by

3

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

General solutions for

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

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

x, arccos (x) = \frac{1}{2}

cos (2 x) = \frac{1}{5}

sin^{2} (θ) - \frac{1}{2} = 0

sin (x) - sin (x) tan (x) = 0

tan (θ) = \frac{2}{10}

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