What is the general solution for solvefor x,y^n+y=sec(x) ?

The general solution for solvefor x,y^n+y=sec(x) is x=arcsec(y^n+y)+2pik,x=-arcsec(y^n+y)+2pik

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solvefor x,y^n+y=sec(x)

solve for

x, y^{n} + y = sec (x)

x = arcsec (y^{n} + y) + 2 πk, x = - arcsec (y^{n} + y) + 2 πk

Solution steps

y^{n} + y = sec (x)

Switch sides

sec (x) = y^{n} + y

Apply trig inverse properties

x = arcsec (y^{n} + y) + 2 πk, x = - arcsec (y^{n} + y) + 2 πk

5 (2 x - 7) = 103

2 x - 7 = - 8 + x

2 x + 10 + 3 x - x = 6 x - 6

\frac{1}{4} x - \frac{1}{2} = - \frac{1}{4} x - \frac{1}{6}

\frac{2 x}{3} - 4 = \frac{5}{3}

What is the general solution for solvefor x,y^n+y=sec(x) ?
The general solution for solvefor x,y^n+y=sec(x) is x=arcsec(y^n+y)+2pik,x=-arcsec(y^n+y)+2pik