What is the general solution for 9*csc(x)=6sqrt(3),(-infinity ,infinity) ?

The general solution for 9*csc(x)=6sqrt(3),(-infinity ,infinity) is

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9*csc(x)=6sqrt(3),(-infinity ,infinity)

9 \cdot csc (x) = 63, (- \infty, \infty)

x = \frac{π}{3}, x = \frac{2 π}{3}, x = \frac{7 π}{3}, x = \frac{8 π}{3}, x = \frac{13 π}{3}, x = \frac{14 π}{3}, x = \frac{19 π}{3}, x = \frac{20 π}{3}, x = \frac{25 π}{3}, x = \frac{26 π}{3}, x = - \frac{5 π}{3}, x = - \frac{4 π}{3}, x = - \frac{11 π}{3}, x = - \frac{10 π}{3}, x = - \frac{17 π}{3}, x = - \frac{16 π}{3}, x = - \frac{23 π}{3}, x = - \frac{22 π}{3}

Solution steps

9 csc (x) = 63, (- \infty, \infty)

Divide both sides by

9

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

Solutions for the range

(- \infty, \infty)

x = \frac{π}{3}, x = \frac{2 π}{3}, x = \frac{7 π}{3}, x = \frac{8 π}{3}, x = \frac{13 π}{3}, x = \frac{14 π}{3}, x = \frac{19 π}{3}, x = \frac{20 π}{3}, x = \frac{25 π}{3}, x = \frac{26 π}{3}, x = - \frac{5 π}{3}, x = - \frac{4 π}{3}, x = - \frac{11 π}{3}, x = - \frac{10 π}{3}, x = - \frac{17 π}{3}, x = - \frac{16 π}{3}, x = - \frac{23 π}{3}, x = - \frac{22 π}{3}

cos (2 x - \frac{π}{2}) = 1

tan (x) = - 2

sin (θ) = \frac{1}{8}

5 sin (θ) + 1 = 0

sec (3 θ) = 2

What is the general solution for 9*csc(x)=6sqrt(3),(-infinity ,infinity) ?
The general solution for 9*csc(x)=6sqrt(3),(-infinity ,infinity) is