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

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

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solvefor t,x=sin(t)

solve for

t, x = sin (t)

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

Solution steps

x = sin (t)

Switch sides

sin (t) = x

Apply trig inverse properties

sin (t) = x

General solutions for

sin (t) = x

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

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

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

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

2 tan^{2} (x) = 13

2 tan^{2} (x) = 15

1 - cos (θ) = 1 + cos (θ)

cos (2 x) + cos (x) = 1

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