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

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

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cos(θ/2)=(sqrt(2))/2

cos (\frac{θ}{2}) = \frac{2}{2}

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

Solution steps

cos (\frac{θ}{2}) = \frac{2}{2}

General solutions for

cos (\frac{θ}{2}) = \frac{2}{2}

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

Solve

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

Solve

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

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

cos (θ) = \frac{3}{2}

cot^{2} (θ) - 1 = 0

3 tan^{2} (y) = sec (y) + 1

cos (\frac{π}{4} + x) = \frac{3}{2}

sin (3 x) - sin (2 x) = 0

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