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

The general solution for cos(x/2)=(sqrt(2))/2 is x= pi/2+4pin,x=(7pi)/2+4pin

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cos(x/2)=(sqrt(2))/2

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

x = \frac{π}{2} + 4 πn, x = \frac{7 π}{2} + 4 πn

Solution steps

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

General solutions for

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

\frac{x}{2} = \frac{π}{4} + 2 πn, \frac{x}{2} = \frac{7 π}{4} + 2 πn

Solve

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

Solve

\frac{x}{2} = \frac{7 π}{4} + 2 πn : x = \frac{7 π}{2} + 4 πn

x = \frac{π}{2} + 4 πn, x = \frac{7 π}{2} + 4 πn

sin (10 5^{\circ})

3 tan^{3} (θ) = tan (θ)

csc^{2} (x) - 4 = 0

cos (\frac{π}{12})

sin^{2} (x) - 1 = 0

What is the general solution for cos(x/2)=(sqrt(2))/2 ?
The general solution for cos(x/2)=(sqrt(2))/2 is x= pi/2+4pin,x=(7pi)/2+4pin