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

The general solution for cos(x-pi/2)= 1/2 is x=2pin+(5pi)/6 ,x=2pin+(13pi)/6

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

cos (x - \frac{π}{2}) = \frac{1}{2}

x = 2 πn + \frac{5 π}{6}, x = 2 πn + \frac{13 π}{6}

Solution steps

cos (x - \frac{π}{2}) = \frac{1}{2}

General solutions for

cos (x - \frac{π}{2}) = \frac{1}{2}

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

Solve

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

Solve

x - \frac{π}{2} = \frac{5 π}{3} + 2 πn : x = 2 πn + \frac{13 π}{6}

x = 2 πn + \frac{5 π}{6}, x = 2 πn + \frac{13 π}{6}

tan (x) = \frac{9}{9}

- 9 cos^{2} (θ) - 1 = 6 cos (θ)

2 cos^{2} (x) = 1 + cos (x)

cos (2 x) = - 1, 0 \leq x \leq 2 π

arccot (x) + arctan (3) = \frac{π}{2}

What is the general solution for cos(x-pi/2)= 1/2 ?
The general solution for cos(x-pi/2)= 1/2 is x=2pin+(5pi)/6 ,x=2pin+(13pi)/6