What is the general solution for 2sin(x)=1.564 ?

The general solution for 2sin(x)=1.564 is x=0.89786…+2pin,x=pi-0.89786…+2pin

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2sin(x)=1.564

2 sin (x) = 1.564

x = 0.89786 \dots + 2 πn, x = π - 0.89786 \dots + 2 πn

Solution steps

2 sin (x) = 1.564

Divide both sides by

2

sin (x) = 0.782

Apply trig inverse properties

x = arcsin (0.782) + 2 πn, x = π - arcsin (0.782) + 2 πn

Show solutions in decimal form

x = 0.89786 \dots + 2 πn, x = π - 0.89786 \dots + 2 πn

sin (x) = 0.08

sin (x) = 0.05

sin (x) = 0.21

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

sin (x) = 0.29

What is the general solution for 2sin(x)=1.564 ?
The general solution for 2sin(x)=1.564 is x=0.89786…+2pin,x=pi-0.89786…+2pin