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

Divide both sides by

- 1

- cos (y) = x

Divide both sides by

- 1

\frac{- cos ( y )}{- 1} = \frac{x}{- 1}

Simplify

cos (y) = - x

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

tan (x) = \frac{3}{6}

θ, r = 1 + cos (2 θ)

tan (x) + tan (x + 4 5^{\circ}) = - 2

tan (x) = \frac{22.5}{34}

y, arccot (y) = ln (sin^{2} (3 x)) - e^{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