What is the general solution for cos(x/2) 1/2 =0 ?

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

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cos(x/2) 1/2 =0

cos (\frac{x}{2}) \frac{1}{2} = 0

x = π + 4 πn, x = 3 π + 4 πn

Solution steps

cos (\frac{x}{2}) \frac{1}{2} = 0

Multiply both sides by

2

cos (\frac{x}{2}) = 0

General solutions for

cos (\frac{x}{2}) = 0

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

Solve

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

Solve

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

x = π + 4 πn, x = 3 π + 4 πn

2 sin (x) + csc (x) = 3

2 cos (x) + 1 = 0, 0 \leq x \leq 2 π

arctan (x) = \frac{π}{4}

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

8 cos^{2} (θ) = 4

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