What is the general solution for sin(x)=0.3746 ?

The general solution for sin(x)=0.3746 is x=0.38396…+2pin,x=pi-0.38396…+2pin

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sin(x)=0.3746

sin (x) = 0.3746

x = 0.38396 \dots + 2 πn, x = π - 0.38396 \dots + 2 πn

Solution steps

sin (x) = 0.3746

Apply trig inverse properties

x = arcsin (0.3746) + 2 πn, x = π - arcsin (0.3746) + 2 πn

Show solutions in decimal form

x = 0.38396 \dots + 2 πn, x = π - 0.38396 \dots + 2 πn

0 = 2 + 4 cos (θ)

tan (a) = 0.49

0 = - 5 sin (x)

sin (x) = 1.6 cos (x)

8 sin (x) + 43 = 0

What is the general solution for sin(x)=0.3746 ?
The general solution for sin(x)=0.3746 is x=0.38396…+2pin,x=pi-0.38396…+2pin