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

The general solution for cos(2x-1)= 1/2 is x=pin+1/2+pi/6 ,x=pin+1/2+(5pi)/6

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cos(2x-1)= 1/2

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

x = πn + \frac{1}{2} + \frac{π}{6}, x = πn + \frac{1}{2} + \frac{5 π}{6}

Solution steps

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

General solutions for

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

2 x - 1 = \frac{π}{3} + 2 πn, 2 x - 1 = \frac{5 π}{3} + 2 πn

Solve

2 x - 1 = \frac{π}{3} + 2 πn : x = πn + \frac{1}{2} + \frac{π}{6}

Solve

2 x - 1 = \frac{5 π}{3} + 2 πn : x = πn + \frac{1}{2} + \frac{5 π}{6}

x = πn + \frac{1}{2} + \frac{π}{6}, x = πn + \frac{1}{2} + \frac{5 π}{6}

tan (a) = \frac{5}{3}

sin (x) = 0.43333333

cos^{6} (x) + 3 cos^{3} (x) - 4 = 0

- sin^{2} (x) = - 1

1 + tan (x) = sec^{2} (x)

What is the general solution for cos(2x-1)= 1/2 ?
The general solution for cos(2x-1)= 1/2 is x=pin+1/2+pi/6 ,x=pin+1/2+(5pi)/6