What is the general solution for sin(x)=0.41 ?

The general solution for sin(x)=0.41 is x=0.42245…+2pin,x=pi-0.42245…+2pin

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sin(x)=0.41

sin (x) = 0.41

x = 0.42245 \dots + 2 πn, x = π - 0.42245 \dots + 2 πn

Solution steps

sin (x) = 0.41

Apply trig inverse properties

x = arcsin (0.41) + 2 πn, x = π - arcsin (0.41) + 2 πn

Show solutions in decimal form

x = 0.42245 \dots + 2 πn, x = π - 0.42245 \dots + 2 πn

sin (x) = 0.39

2 sin (x) = 1 - 2 cos (x)

sin (x) = 0.96

sin (θ) = 2

- cos (θ) - 4 = 2 cos^{2} (θ) - 5

What is the general solution for sin(x)=0.41 ?
The general solution for sin(x)=0.41 is x=0.42245…+2pin,x=pi-0.42245…+2pin