What is the general solution for sin(x)=0.56 ?

The general solution for sin(x)=0.56 is x=0.59438…+2pin,x=pi-0.59438…+2pin

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sin(x)=0.56

sin (x) = 0.56

x = 0.59438 \dots + 2 πn, x = π - 0.59438 \dots + 2 πn

Solution steps

sin (x) = 0.56

Apply trig inverse properties

x = arcsin (0.56) + 2 πn, x = π - arcsin (0.56) + 2 πn

Show solutions in decimal form

x = 0.59438 \dots + 2 πn, x = π - 0.59438 \dots + 2 πn

sin (3 x) cos (6 x) - cos (3 x) sin (6 x) = - 0.55

sin (x) = 0.47

sin (x) = 0.31

sin (x) = 0.98

sin (θ) = 3

What is the general solution for sin(x)=0.56 ?
The general solution for sin(x)=0.56 is x=0.59438…+2pin,x=pi-0.59438…+2pin