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

The general solution for sqrt(3)cot(pi/2 x)=-3 is x= 5/3+2n

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sqrt(3)cot(pi/2 x)=-3

3 cot (\frac{π}{2} x) = - 3

x = \frac{5}{3} + 2 n

Solution steps

3 cot (\frac{π}{2} x) = - 3

Divide both sides by

3

cot (\frac{π}{2} x) = - 3

General solutions for

cot (\frac{π}{2} x) = - 3

\frac{π}{2} x = \frac{5 π}{6} + πn

Solve

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

x = \frac{5}{3} + 2 n

0 = 3.46 sin (x) - 704.35

cos (θ) = \frac{3}{5}, \frac{3 π}{2} < θ < 2 π

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

- 3 cos (2 θ) + 2 sin (θ) + 5 = 9 sin (θ)

3 + sin (x) = 5 cos (2 x)

What is the general solution for sqrt(3)cot(pi/2 x)=-3 ?
The general solution for sqrt(3)cot(pi/2 x)=-3 is x= 5/3+2n