What is the general solution for sin(u)=-2/5 ?

The general solution for sin(u)=-2/5 is u=-0.41151…+2pin,u=pi+0.41151…+2pin

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sin(u)=-2/5

sin (u) = - \frac{2}{5}

u = - 0.41151 \dots + 2 πn, u = π + 0.41151 \dots + 2 πn

Solution steps

sin (u) = - \frac{2}{5}

Apply trig inverse properties

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

Show solutions in decimal form

u = - 0.41151 \dots + 2 πn, u = π + 0.41151 \dots + 2 πn

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x, cos (x y) = 0

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

What is the general solution for sin(u)=-2/5 ?
The general solution for sin(u)=-2/5 is u=-0.41151…+2pin,u=pi+0.41151…+2pin