What is the general solution for cos(x/3-pi/4)= 1/2 ?

The general solution for cos(x/3-pi/4)= 1/2 is x=6pin+(7pi)/4 ,x=6pin+(23pi)/4

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cos(x/3-pi/4)= 1/2

cos (\frac{x}{3} - \frac{π}{4}) = \frac{1}{2}

x = 6 πn + \frac{7 π}{4}, x = 6 πn + \frac{23 π}{4}

Solution steps

cos (\frac{x}{3} - \frac{π}{4}) = \frac{1}{2}

General solutions for

cos (\frac{x}{3} - \frac{π}{4}) = \frac{1}{2}

\frac{x}{3} - \frac{π}{4} = \frac{π}{3} + 2 πn, \frac{x}{3} - \frac{π}{4} = \frac{5 π}{3} + 2 πn

Solve

\frac{x}{3} - \frac{π}{4} = \frac{π}{3} + 2 πn : x = 6 πn + \frac{7 π}{4}

Solve

\frac{x}{3} - \frac{π}{4} = \frac{5 π}{3} + 2 πn : x = 6 πn + \frac{23 π}{4}

x = 6 πn + \frac{7 π}{4}, x = 6 πn + \frac{23 π}{4}

12 sin^{2} (x) + 7 cos (x) - 13 = 0

tan (3 x - π) = 1

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

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

- 10 sin (θ) + 2 = 2

What is the general solution for cos(x/3-pi/4)= 1/2 ?
The general solution for cos(x/3-pi/4)= 1/2 is x=6pin+(7pi)/4 ,x=6pin+(23pi)/4