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

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

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solvefor x,sin(x)=ln(y)

solve for

x, sin (x) = ln (y)

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

Solution steps

sin (x) = ln (y)

Apply trig inverse properties

sin (x) = ln (y)

General solutions for

sin (x) = ln (y)

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

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

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

10 = 7 cos ((\frac{π}{6}) (t + 6)) + 8

csc (t) = 2

cos (x) = - 0.79497329

sin (x) + sin (x) = 2

cos (θ) = \frac{1}{6}

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