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

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

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sin(x+pi/4)= 1/2

sin (x + \frac{π}{4}) = \frac{1}{2}

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

Solution steps

sin (x + \frac{π}{4}) = \frac{1}{2}

General solutions for

sin (x + \frac{π}{4}) = \frac{1}{2}

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

Solve

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

Solve

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

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

20 sin (10 x) - 10 = 5

sin (z) = 2

tan (2 θ) = 1

cos (t) = 1

tan (x) = \frac{2}{5}

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