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

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

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solvefor y,x=sec(y)

solve for

y, x = sec (y)

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

Solution steps

x = sec (y)

Switch sides

sec (y) = x

Apply trig inverse properties

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

2 cos^{2} (θ) - cos (θ) - 4 = - 6 cos (θ) - 6

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

4 tan (2 x) - 4 cot (x) = 0

sin (x) = \frac{24}{25}

arcsin (3 x - π) = \frac{1}{2}

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