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

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

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solvefor y,sin(y)=x

solve for

y, sin (y) = x

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

Solution steps

sin (y) = x

Apply trig inverse properties

sin (y) = x

General solutions for

sin (y) = x

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

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

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

sin (2 x) + 3 cos (x) = 0

tan (θ) = cot (θ)

sin (x) = 0.2

cos (z) = 0

sin^{2} (x) - 4 sin (x) - 5 = 0

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