What is the general solution for sin(x)= 6/19 ?

The general solution for sin(x)= 6/19 is x=0.32128…+2pin,x=pi-0.32128…+2pin

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sin(x)= 6/19

sin (x) = \frac{6}{19}

x = 0.32128 \dots + 2 πn, x = π - 0.32128 \dots + 2 πn

Degrees

x = 18.40848 \dots^{\circ} + 36 0^{\circ} n, x = 161.59151 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = \frac{6}{19}

Apply trig inverse properties

sin (x) = \frac{6}{19}

General solutions for

sin (x) = \frac{6}{19}

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

x = arcsin (\frac{6}{19}) + 2 πn, x = π - arcsin (\frac{6}{19}) + 2 πn

x = arcsin (\frac{6}{19}) + 2 πn, x = π - arcsin (\frac{6}{19}) + 2 πn

Show solutions in decimal form

x = 0.32128 \dots + 2 πn, x = π - 0.32128 \dots + 2 πn

What is the general solution for sin(x)= 6/19 ?
The general solution for sin(x)= 6/19 is x=0.32128…+2pin,x=pi-0.32128…+2pin