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

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

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solvefor θ,x=sin(θ)

solve for

θ, x = sin (θ)

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

Solution steps

x = sin (θ)

Switch sides

sin (θ) = x

Apply trig inverse properties

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

cos^{2} (x) - \frac{3}{2} cos (2 x) = 0

- 12 - 3 tan (θ) = - 12 + 3

12 cosh (2 x) + 7 sinh (x) - 24 = 0

sec^{2} (θ) - 1 = 0

2 sin (θ) cos (θ) = - sin (θ)

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