What is the general solution for sin(x)= 16/39 ?

The general solution for sin(x)= 16/39 is x=0.42273…+2pin,x=pi-0.42273…+2pin

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sin(x)= 16/39

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

x = 0.42273 \dots + 2 πn, x = π - 0.42273 \dots + 2 πn

Solution steps

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

Apply trig inverse properties

x = arcsin (\frac{16}{39}) + 2 πn, x = π - arcsin (\frac{16}{39}) + 2 πn

Show solutions in decimal form

x = 0.42273 \dots + 2 πn, x = π - 0.42273 \dots + 2 πn

sin (x) = 0.29

sin (x) = 0.26

\frac{2 - 2 sin ( x )}{a} = \frac{2}{sin ( x )}

sin (B) = \frac{1}{3}

cos (7 x) = sin (5 x - 6)

What is the general solution for sin(x)= 16/39 ?
The general solution for sin(x)= 16/39 is x=0.42273…+2pin,x=pi-0.42273…+2pin