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

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

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solvefor t,y=sin(t)

solve for

t, y = sin (t)

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

Solution steps

y = sin (t)

Switch sides

sin (t) = y

Apply trig inverse properties

sin (t) = y

General solutions for

sin (t) = y

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

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

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

sec^{2} (q) = sec (q) + 2

sin (θ) + 4 = 3

cos (3 x) = \frac{1}{3}

sin (θ) = \frac{7}{8}

sin (x) = \frac{- 2}{3}

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