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

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

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cos(2t)= 1/2

cos (2 t) = \frac{1}{2}

t = \frac{π}{6} + πn, t = \frac{5 π}{6} + πn

Solution steps

cos (2 t) = \frac{1}{2}

General solutions for

cos (2 t) = \frac{1}{2}

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

Solve

2 t = \frac{π}{3} + 2 πn : t = \frac{π}{6} + πn

Solve

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

t = \frac{π}{6} + πn, t = \frac{5 π}{6} + πn

52 sin (θ) + 4 = - 1

7 sin^{2} (x) - 1 = 0

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

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

x, θ = arctan (\frac{y}{x})

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