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

The general solution for cos(y)=-1 is y=pi+2pin

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cos(y)=-1

cos (y) = - 1

y = π + 2 πn

Degrees

y = 18 0^{\circ} + 36 0^{\circ} n

Solution steps

cos (y) = - 1

General solutions for

cos (y) = - 1

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 = π + 2 πn

y = π + 2 πn

cot (x) = - \frac{2}{3}

tan (\frac{3 θ}{4}) = \frac{- 3}{3}

30 = 15 cos (\frac{2 π}{365} t) + 43

sin (x) = + 1 e

sin (2 x) cos (x) + cos (2 x) sin (x) = - 1

What is the general solution for cos(y)=-1 ?
The general solution for cos(y)=-1 is y=pi+2pin