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

sin (6 x) - sin (2 x) = 0

z, cos (x) + cos (y) + cos (z) = 0

12 sin^{2} (x) + cos (x) - 6 = 0

2 sin (2 θ) - 1 = 0

cos (\frac{1}{x}) = 0

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