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

The general solution for sin(x)=a is x=arcsin(a)+2pin,x=pi+arcsin(-a)+2pin

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sin(x)=a

sin (x) = a

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

Solution steps

sin (x) = a

Apply trig inverse properties

sin (x) = a

General solutions for

sin (x) = a

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

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

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

What is the general solution for sin(x)=a ?
The general solution for sin(x)=a is x=arcsin(a)+2pin,x=pi+arcsin(-a)+2pin