What is the general solution for sin(x/2)=-1 ?

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

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sin(x/2)=-1

sin (\frac{x}{2}) = - 1

x = 3 π + 4 πn

Solution steps

sin (\frac{x}{2}) = - 1

General solutions for

sin (\frac{x}{2}) = - 1

\frac{x}{2} = \frac{3 π}{2} + 2 πn

Solve

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

x = 3 π + 4 πn

9 sinh (x) - 5 cosh (x) = 15

sin (x) - 3 - 3 sin^{2} (x) = 0

cos (2 x) - cos (x) + 1 = 0

4 tan^{2} (x) + 21 tan (x) - 49 = 0

cot (x) = csc (x) + 1

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