What is the general solution for solvefor y,x=2sec(y) ?

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

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solvefor y,x=2sec(y)

solve for

y, x = 2 sec (y)

y = arcsec (\frac{x}{2}) + 2 πn, y = - arcsec (\frac{x}{2}) + 2 πn

Solution steps

x = 2 sec (y)

Switch sides

2 sec (y) = x

Divide both sides by

2

2 sec (y) = x

Divide both sides by

2

\frac{2 sec ( y )}{2} = \frac{x}{2}

Simplify

sec (y) = \frac{x}{2}

sec (y) = \frac{x}{2}

Apply trig inverse properties

sec (y) = \frac{x}{2}

General solutions for

sec (y) = \frac{x}{2}

sec (x) = a \Rightarrow x = arcsec (a) + 2 πn, x = - arcsec (a) + 2 πn

y = arcsec (\frac{x}{2}) + 2 πn, y = - arcsec (\frac{x}{2}) + 2 πn

y = arcsec (\frac{x}{2}) + 2 πn, y = - arcsec (\frac{x}{2}) + 2 πn

tan (π + c) = 1

8 sin^{2} (x) = 8 cos^{2} (x)

sin (x) = \frac{6}{8}

tan (x) = 2 + tan (3 x)

2 sin (x) - 3 = 0

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