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

The general solution for 2/pi =sin(x) is x=0.69010…+2pin,x=pi-0.69010…+2pin

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2/pi =sin(x)

\frac{2}{π} = sin (x)

x = 0.69010 \dots + 2 πn, x = π - 0.69010 \dots + 2 πn

Degrees

x = 39.54022 \dots^{\circ} + 36 0^{\circ} n, x = 140.45977 \dots^{\circ} + 36 0^{\circ} n

Solution steps

\frac{2}{π} = sin (x)

Switch sides

sin (x) = \frac{2}{π}

Apply trig inverse properties

sin (x) = \frac{2}{π}

General solutions for

sin (x) = \frac{2}{π}

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

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

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

Show solutions in decimal form

x = 0.69010 \dots + 2 πn, x = π - 0.69010 \dots + 2 πn

What is the general solution for 2/pi =sin(x) ?
The general solution for 2/pi =sin(x) is x=0.69010…+2pin,x=pi-0.69010…+2pin