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

The general solution for sin(y)=(-1)/2 is y=(7pi)/6+2pin,y=(11pi)/6+2pin

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sin(y)=(-1)/2

sin (y) = \frac{- 1}{2}

y = \frac{7 π}{6} + 2 πn, y = \frac{11 π}{6} + 2 πn

Solution steps

sin (y) = \frac{- 1}{2}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

sin (y) = - \frac{1}{2}

General solutions for

sin (y) = - \frac{1}{2}

y = \frac{7 π}{6} + 2 πn, y = \frac{11 π}{6} + 2 πn

5 sin (3 x) - 11 = 3 sin (3 x) - 12

885 cos (θ) - 70 = cos (25 0^{\circ}) + 25 0^{\circ}

8 - 8 sin (x) = 5 cos^{2} (x)

0 = - \frac{9 π ^{2}}{3200} cos (\frac{π x}{80})

cos^{2} (a) + 2 sin (a) + 1 = 0

What is the general solution for sin(y)=(-1)/2 ?
The general solution for sin(y)=(-1)/2 is y=(7pi)/6+2pin,y=(11pi)/6+2pin