What is the general solution for sin(x)=0.24 ?

The general solution for sin(x)=0.24 is x=0.24236…+2pin,x=pi-0.24236…+2pin

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sin(x)=0.24

sin (x) = 0.24

x = 0.24236 \dots + 2 πn, x = π - 0.24236 \dots + 2 πn

Degrees

x = 13.88654 \dots^{\circ} + 36 0^{\circ} n, x = 166.11345 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = 0.24

Apply trig inverse properties

sin (x) = 0.24

General solutions for

sin (x) = 0.24

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

x = arcsin (0.24) + 2 πn, x = π - arcsin (0.24) + 2 πn

x = arcsin (0.24) + 2 πn, x = π - arcsin (0.24) + 2 πn

Show solutions in decimal form

x = 0.24236 \dots + 2 πn, x = π - 0.24236 \dots + 2 πn

What is the general solution for sin(x)=0.24 ?
The general solution for sin(x)=0.24 is x=0.24236…+2pin,x=pi-0.24236…+2pin