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

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

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sin(x)= 2/pi

sin (x) = \frac{2}{π}

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

Solution steps

sin (x) = \frac{2}{π}

Apply trig inverse properties

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

sin (2 x) cos (x) + cos (2 x) sin (x) = \frac{2}{2}

sin (2 x) = 3 sin (x)

csc (θ) = - 2

4 cos^{2} (x) - 1 = 0, 0 < x < 2 π

cos (\frac{2 x - π}{6}) = \frac{( 3 )}{2}, 0 < x < 2 π

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