What is the general solution for 0.5=sin(x) ?

The general solution for 0.5=sin(x) is x= pi/6+2pin,x=(5pi)/6+2pin

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0.5=sin(x)

0.5 = sin (x)

x = \frac{π}{6} + 2 πn, x = \frac{5 π}{6} + 2 πn

Solution steps

0.5 = sin (x)

Switch sides

sin (x) = 0.5

General solutions for

sin (x) = 0.5

x = \frac{π}{6} + 2 πn, x = \frac{5 π}{6} + 2 πn

cos^{2} (θ) + cos (θ) - 1 = 0

sin^{2} (x) - 3 = 0

sin (x) (2 cos (x) - 2) = 0

sin (θ) = \frac{- 2}{2}

cos (θ) csc (θ) = - 2 cos (θ)

What is the general solution for 0.5=sin(x) ?
The general solution for 0.5=sin(x) is x= pi/6+2pin,x=(5pi)/6+2pin