What is the general solution for sin(x)=0.08 ?

The general solution for sin(x)=0.08 is x=0.08008…+2pin,x=pi-0.08008…+2pin

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sin(x)=0.08

sin (x) = 0.08

x = 0.08008 \dots + 2 πn, x = π - 0.08008 \dots + 2 πn

Degrees

x = 4.58856 \dots^{\circ} + 36 0^{\circ} n, x = 175.41143 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = 0.08

Apply trig inverse properties

sin (x) = 0.08

General solutions for

sin (x) = 0.08

sin (x) = a \Rightarrow x = arcsin (a) + 2 πn, x = π - arcsin (a) + 2 πn

x = arcsin (0.08) + 2 πn, x = π - arcsin (0.08) + 2 πn

x = arcsin (0.08) + 2 πn, x = π - arcsin (0.08) + 2 πn

Show solutions in decimal form

x = 0.08008 \dots + 2 πn, x = π - 0.08008 \dots + 2 πn

sin (x) = 0.05

sin (x) = 0.21

sin (x) = \frac{16}{39}

sin (x) = 0.29

sin (x) = 0.26

What is the general solution for sin(x)=0.08 ?
The general solution for sin(x)=0.08 is x=0.08008…+2pin,x=pi-0.08008…+2pin