What is the general solution for solvefor x,sin(x)=y ?

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

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solvefor x,sin(x)=y

solve for

x, sin (x) = y

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

Solution steps

sin (x) = y

Apply trig inverse properties

sin (x) = y

General solutions for

sin (x) = y

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

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

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

cos (2 x) = 1 - 2 sin (x)

- cos (A) - 11 = 2 cos (A) - 9

sin (θ - \frac{π}{3}) - 1 = 0

cos (5 x) = \frac{1}{2}

sin (θ) = \frac{3}{5} cos (θ)

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