What is the general solution for csc((2x)/3)-1=0 ?

The general solution for csc((2x)/3)-1=0 is x=(3pi)/4+3pin

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csc((2x)/3)-1=0

csc (\frac{2 x}{3}) - 1 = 0

x = \frac{3 π}{4} + 3 πn

Solution steps

csc (\frac{2 x}{3}) - 1 = 0

Move

1

to the right side

csc (\frac{2 x}{3}) = 1

General solutions for

csc (\frac{2 x}{3}) = 1

\frac{2 x}{3} = \frac{π}{2} + 2 πn

Solve

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

x = \frac{3 π}{4} + 3 πn

6 tan (x) = tan^{2} (x), x = 0

5 cos^{2} (x) + 3 cos (x) - 1 = 0

3 cot (x) + 5 = 8

sin^{2} (x) - 3 cos^{2} (x) = 1

a, sin (arccos (x)) = 1 - x^{2}

What is the general solution for csc((2x)/3)-1=0 ?
The general solution for csc((2x)/3)-1=0 is x=(3pi)/4+3pin