What is the general solution for sin(x-pi/3)=(sqrt(2))/2 ?

The general solution for sin(x-pi/3)=(sqrt(2))/2 is x=2pin+(7pi)/(12),x=2pin+(13pi)/(12)

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sin(x-pi/3)=(sqrt(2))/2

sin (x - \frac{π}{3}) = \frac{2}{2}

x = 2 πn + \frac{7 π}{12}, x = 2 πn + \frac{13 π}{12}

Solution steps

sin (x - \frac{π}{3}) = \frac{2}{2}

General solutions for

sin (x - \frac{π}{3}) = \frac{2}{2}

x - \frac{π}{3} = \frac{π}{4} + 2 πn, x - \frac{π}{3} = \frac{3 π}{4} + 2 πn

Solve

x - \frac{π}{3} = \frac{π}{4} + 2 πn : x = 2 πn + \frac{7 π}{12}

Solve

x - \frac{π}{3} = \frac{3 π}{4} + 2 πn : x = 2 πn + \frac{13 π}{12}

x = 2 πn + \frac{7 π}{12}, x = 2 πn + \frac{13 π}{12}

5 cos (a) + 4 = 0

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

sin (x) - 1 = - cos (2 x)

2 cos (\frac{x}{2}) - 2 = 0, 0 \leq x < 2 π

cos (\frac{x}{4}) = - \frac{2}{2}

What is the general solution for sin(x-pi/3)=(sqrt(2))/2 ?
The general solution for sin(x-pi/3)=(sqrt(2))/2 is x=2pin+(7pi)/(12),x=2pin+(13pi)/(12)