What is the general solution for sin(x)= 2/9 ?

The general solution for sin(x)= 2/9 is x=0.22409…+2pin,x=pi-0.22409…+2pin

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sin(x)= 2/9

sin (x) = \frac{2}{9}

x = 0.22409 \dots + 2 πn, x = π - 0.22409 \dots + 2 πn

Solution steps

sin (x) = \frac{2}{9}

Apply trig inverse properties

x = arcsin (\frac{2}{9}) + 2 πn, x = π - arcsin (\frac{2}{9}) + 2 πn

Show solutions in decimal form

x = 0.22409 \dots + 2 πn, x = π - 0.22409 \dots + 2 πn

sin (x) = \frac{2}{4}

sin (x^{2} - 2 x + 1) = 1

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

2 sin^{2} (θ) + cos (θ) = 0

csc (θ) = - \frac{8}{5}

What is the general solution for sin(x)= 2/9 ?
The general solution for sin(x)= 2/9 is x=0.22409…+2pin,x=pi-0.22409…+2pin