What is the general solution for sin(x)=0.3456 ?

The general solution for sin(x)=0.3456 is x=0.35287…+2pin,x=pi-0.35287…+2pin

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sin(x)=0.3456

sin (x) = 0.3456

x = 0.35287 \dots + 2 πn, x = π - 0.35287 \dots + 2 πn

Solution steps

sin (x) = 0.3456

Apply trig inverse properties

x = arcsin (0.3456) + 2 πn, x = π - arcsin (0.3456) + 2 πn

Show solutions in decimal form

x = 0.35287 \dots + 2 πn, x = π - 0.35287 \dots + 2 πn

5 cos^{2} (x) + 3 cos (x) = 0, (0, 2 π)

cos (x) - 2 sin (2 x) = 0

x, cos (2 x) = \frac{3}{2}

tan (\frac{2 θ}{3}) + 3 = 0

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

What is the general solution for sin(x)=0.3456 ?
The general solution for sin(x)=0.3456 is x=0.35287…+2pin,x=pi-0.35287…+2pin