What is the general solution for cos(θ/2)= 1/(sqrt(2)) ?

The general solution for cos(θ/2)= 1/(sqrt(2)) is θ= pi/2+4pin,θ=(7pi)/2+4pin

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cos(θ/2)= 1/(sqrt(2))

cos (\frac{θ}{2}) = \frac{1}{2}

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

Solution steps

cos (\frac{θ}{2}) = \frac{1}{2}

Simplify

\frac{1}{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

\frac{2}{3} cos (3 θ) = 1

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

tan (x) = - 0.5

sin (x) - cos (x) - 1 = 0

7 sec^{2} (x) - 7 sec (x) = 14

What is the general solution for cos(θ/2)= 1/(sqrt(2)) ?
The general solution for cos(θ/2)= 1/(sqrt(2)) is θ= pi/2+4pin,θ=(7pi)/2+4pin