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

The general solution for solvefor y,x=cos(y) is y=arccos(x)+2pin,y=-arccos(x)+2pin

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solvefor y,x=cos(y)

solve for

y, x = cos (y)

y = arccos (x) + 2 πn, y = - arccos (x) + 2 πn

Solution steps

x = cos (y)

Switch sides

cos (y) = x

Apply trig inverse properties

cos (y) = x

General solutions for

cos (y) = x

cos (x) = a \Rightarrow x = arccos (a) + 2 πn, x = - arccos (a) + 2 πn

y = arccos (x) + 2 πn, y = - arccos (x) + 2 πn

y = arccos (x) + 2 πn, y = - arccos (x) + 2 πn

cot (x) cos^{2} (x) = 2 cot (x)

tan (θ) = 4

sin^{2} (x) + 2 cos (x) = 2

cos (4 x) = - \frac{2}{2}

tan (x) = 2 sin (x)

What is the general solution for solvefor y,x=cos(y) ?
The general solution for solvefor y,x=cos(y) is y=arccos(x)+2pin,y=-arccos(x)+2pin