What is the general solution for sqrt(3)csc(pi/2 x)=2 ?

The general solution for sqrt(3)csc(pi/2 x)=2 is x= 2/3+4n,x= 4/3+4n

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sqrt(3)csc(pi/2 x)=2

3 csc (\frac{π}{2} x) = 2

x = \frac{2}{3} + 4 n, x = \frac{4}{3} + 4 n

Solution steps

3 csc (\frac{π}{2} x) = 2

Divide both sides by

3

csc (\frac{π}{2} x) = \frac{2 3}{3}

General solutions for

csc (\frac{π}{2} x) = \frac{2 3}{3}

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

Solve

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

Solve

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

x = \frac{2}{3} + 4 n, x = \frac{4}{3} + 4 n

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

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

- cos (7 x) + cos (3 x) = sin (5 x)

2 sin (θ) - 3 csc (θ) + 5 = 0

csc^{4} (2 x) - 4 = 0

What is the general solution for sqrt(3)csc(pi/2 x)=2 ?
The general solution for sqrt(3)csc(pi/2 x)=2 is x= 2/3+4n,x= 4/3+4n