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

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

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0=cos(x/2)

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

x = π + 4 πn, x = 3 π + 4 πn

Solution steps

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

Switch sides

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

3 cos (x) - 1 = cos (2 x)

7 cos^{2} (θ) - 9 = - 9 sin (θ)

y, arcsin (y) = x

- 4 cos (2 θ) - 3 cos (θ) - 4 = - 2 cos (θ) - 7

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

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