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

The general solution for cos(x-(3pi)/2)= 1/2 is x=2pin+(11pi)/6 ,x=2pin+(19pi)/6

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

cos (x - \frac{3 π}{2}) = \frac{1}{2}

x = 2 πn + \frac{11 π}{6}, x = 2 πn + \frac{19 π}{6}

Solution steps

cos (x - \frac{3 π}{2}) = \frac{1}{2}

General solutions for

cos (x - \frac{3 π}{2}) = \frac{1}{2}

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

Solve

x - \frac{3 π}{2} = \frac{π}{3} + 2 πn : x = 2 πn + \frac{11 π}{6}

Solve

x - \frac{3 π}{2} = \frac{5 π}{3} + 2 πn : x = 2 πn + \frac{19 π}{6}

x = 2 πn + \frac{11 π}{6}, x = 2 πn + \frac{19 π}{6}

1 - 3 cos (2 θ) = 0

x, sin (\frac{π}{x}) = y - 1

cos (\frac{3 θ}{2}) = 0

270 = 69 - tan (4 5^{\circ} + (\frac{x}{2}))

tan (x) = - \frac{8}{15}

What is the general solution for cos(x-(3pi)/2)= 1/2 ?
The general solution for cos(x-(3pi)/2)= 1/2 is x=2pin+(11pi)/6 ,x=2pin+(19pi)/6