What is the general solution for sin(θ+pi/4)= 1/2 ?

The general solution for sin(θ+pi/4)= 1/2 is θ=2pin-pi/(12),θ=2pin+(7pi)/(12)

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sin(θ+pi/4)= 1/2

sin (θ + \frac{π}{4}) = \frac{1}{2}

θ = 2 πn - \frac{π}{12}, θ = 2 πn + \frac{7 π}{12}

Solution steps

sin (θ + \frac{π}{4}) = \frac{1}{2}

General solutions for

sin (θ + \frac{π}{4}) = \frac{1}{2}

θ + \frac{π}{4} = \frac{π}{6} + 2 πn, θ + \frac{π}{4} = \frac{5 π}{6} + 2 πn

Solve

θ + \frac{π}{4} = \frac{π}{6} + 2 πn : θ = 2 πn - \frac{π}{12}

Solve

θ + \frac{π}{4} = \frac{5 π}{6} + 2 πn : θ = 2 πn + \frac{7 π}{12}

θ = 2 πn - \frac{π}{12}, θ = 2 πn + \frac{7 π}{12}

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

x, sin (y) + cos (x) = 1

x, u = cos (x)

tan (x) + 1 = \frac{1}{5}

cos (2 x) = \frac{119}{169}

What is the general solution for sin(θ+pi/4)= 1/2 ?
The general solution for sin(θ+pi/4)= 1/2 is θ=2pin-pi/(12),θ=2pin+(7pi)/(12)