What is the general solution for sin(x)= 5/16 ?

The general solution for sin(x)= 5/16 is x=0.31782…+2pin,x=pi-0.31782…+2pin

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sin(x)= 5/16

sin (x) = \frac{5}{16}

x = 0.31782 \dots + 2 πn, x = π - 0.31782 \dots + 2 πn

Solution steps

sin (x) = \frac{5}{16}

Apply trig inverse properties

x = arcsin (\frac{5}{16}) + 2 πn, x = π - arcsin (\frac{5}{16}) + 2 πn

Show solutions in decimal form

x = 0.31782 \dots + 2 πn, x = π - 0.31782 \dots + 2 πn

sin^{2} (x) + 2 cos (x) = 0

sin (a) = 0.36

sin (a) = 0.35

sin (2 x) = cos (2 x) + 1, \forall 0 \leq θ < 2 π

sin (x) = \frac{5}{14}

What is the general solution for sin(x)= 5/16 ?
The general solution for sin(x)= 5/16 is x=0.31782…+2pin,x=pi-0.31782…+2pin