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

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

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0=1+cos(x/2)

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

x = 2 π + 4 πn

Solution steps

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

Switch sides

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

Move

1

to the right side

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

General solutions for

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

\frac{x}{2} = π + 2 πn

Solve

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

x = 2 π + 4 πn

sin (x) = cos (1 9^{\circ})

\frac{1}{1.5} = \frac{sin ( 3 0 ^{\circ} )}{sin ( x )}, x < 9 0^{\circ}

tan (A) = \frac{8}{15}

tan^{2} (θ) = sec^{2} (θ) + 1

cos (2 B) = \frac{21}{35}, cos (B)

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