What is the general solution for 21csc^2(2x)-5=23 ?

The general solution for 21csc^2(2x)-5=23 is x= pi/6+pin,x= pi/3+pin,x=(2pi)/3+pin,x=(5pi)/6+pin

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21csc^2(2x)-5=23

21 csc^{2} (2 x) - 5 = 23

x = \frac{π}{6} + πn, x = \frac{π}{3} + πn, x = \frac{2 π}{3} + πn, x = \frac{5 π}{6} + πn

Solution steps

21 csc^{2} (2 x) - 5 = 23

Solve by substitution

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

csc (2 x) = \frac{2 3}{3} : x = \frac{π}{6} + πn, x = \frac{π}{3} + πn

csc (2 x) = - \frac{2 3}{3} : x = \frac{2 π}{3} + πn, x = \frac{5 π}{6} + πn

Combine all the solutions

x = \frac{π}{6} + πn, x = \frac{π}{3} + πn, x = \frac{2 π}{3} + πn, x = \frac{5 π}{6} + πn

4 sin^{2} (\frac{x}{3}) = 1

cos (2 x - \frac{π}{4}) = \frac{2}{2}

sin (5 t) - 1 = 0

2 sin (θ) cos (θ) - sin (θ) = 0

9 sin (x) tan (x) - 2 tan (x) = 0

What is the general solution for 21csc^2(2x)-5=23 ?
The general solution for 21csc^2(2x)-5=23 is x= pi/6+pin,x= pi/3+pin,x=(2pi)/3+pin,x=(5pi)/6+pin