What is the general solution for sin(x)=0.19 ?

The general solution for sin(x)=0.19 is x=0.19116…+2pin,x=pi-0.19116…+2pin

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sin(x)=0.19

sin (x) = 0.19

x = 0.19116 \dots + 2 πn, x = π - 0.19116 \dots + 2 πn

Solution steps

sin (x) = 0.19

Apply trig inverse properties

x = arcsin (0.19) + 2 πn, x = π - arcsin (0.19) + 2 πn

Show solutions in decimal form

x = 0.19116 \dots + 2 πn, x = π - 0.19116 \dots + 2 πn

sin (x) = 0.16

sin (x) = 0.36

5 sin^{2} (x) + 10 sin (x) + 5 = 0

sin (x) = 0.94

sin (x) = 0.92

What is the general solution for sin(x)=0.19 ?
The general solution for sin(x)=0.19 is x=0.19116…+2pin,x=pi-0.19116…+2pin