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

The general solution for cos(y)= 1/2 is y= pi/3+2pin,y=(5pi)/3+2pin

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cos(y)= 1/2

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

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

Degrees

y = 6 0^{\circ} + 36 0^{\circ} n, y = 30 0^{\circ} + 36 0^{\circ} n

Solution steps

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

General solutions for

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

cos (x)

periodicity table with

2 πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} cos (x) 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} cos (x) - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2} 0 \frac{1}{2} \frac{2}{2} \frac{3}{2}

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

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

tan (x) = \frac{cos ( x )}{sin ( x )}

4 tan (x) - 3 = 7 tan (x)

sin (x) = π

sin (x) - cos (x) = 0.5

tan (t) = \frac{1}{4}

What is the general solution for cos(y)= 1/2 ?
The general solution for cos(y)= 1/2 is y= pi/3+2pin,y=(5pi)/3+2pin