What is the general solution for 1/2 = 1/2*cos(4.2t+pi/6) ?

The general solution for 1/2 = 1/2*cos(4.2t+pi/6) is t=(10pin)/(21)-(5pi)/(126)

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1/2 = 1/2*cos(4.2t+pi/6)

\frac{1}{2} = \frac{1}{2} \cdot cos (4.2 t + \frac{π}{6})

t = \frac{10 πn}{21} - \frac{5 π}{126}

Solution steps

\frac{1}{2} = \frac{1}{2} cos (4.2 t + \frac{π}{6})

Switch sides

\frac{1}{2} cos (4.2 t + \frac{π}{6}) = \frac{1}{2}

Multiply both sides by

2

cos (4.2 t + \frac{π}{6}) = 1

General solutions for

cos (4.2 t + \frac{π}{6}) = 1

4.2 t + \frac{π}{6} = 0 + 2 πn

Solve

4.2 t + \frac{π}{6} = 0 + 2 πn : t = \frac{10 πn}{21} - \frac{5 π}{126}

t = \frac{10 πn}{21} - \frac{5 π}{126}

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What is the general solution for 1/2 = 1/2*cos(4.2t+pi/6) ?
The general solution for 1/2 = 1/2*cos(4.2t+pi/6) is t=(10pin)/(21)-(5pi)/(126)