What is the general solution for sin(x)=0.4 ?

The general solution for sin(x)=0.4 is x=0.41151…+2pin,x=pi-0.41151…+2pin

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sin(x)=0.4

sin (x) = 0.4

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

Degrees

x = 23.57817 \dots^{\circ} + 36 0^{\circ} n, x = 156.42182 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = 0.4

Apply trig inverse properties

sin (x) = 0.4

General solutions for

sin (x) = 0.4

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

x = arcsin (0.4) + 2 πn, x = π - arcsin (0.4) + 2 πn

x = arcsin (0.4) + 2 πn, x = π - arcsin (0.4) + 2 πn

Show solutions in decimal form

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

cos (\frac{3 π}{8})

tan (θ) + 1 = 0

arctan (\frac{π}{2})

sin (- \frac{3 π}{2})

arccos (1)

What is the general solution for sin(x)=0.4 ?
The general solution for sin(x)=0.4 is x=0.41151…+2pin,x=pi-0.41151…+2pin