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

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

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solvefor x,t^2=2sec(x)

solvefor

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

Solution steps

t^{2} = 2 sec (x)

Switch sides

2 sec (x) = t^{2}

Divide both sides by

2

2 sec (x) = t^{2}

Divide both sides by

2

\frac{2 sec ( x )}{2} = \frac{t ^{2}}{2}

Simplify

sec (x) = \frac{t ^{2}}{2}

sec (x) = \frac{t ^{2}}{2}

Apply trig inverse properties

sec (x) = \frac{t ^{2}}{2}

General solutions for

sec (x) = \frac{t ^{2}}{2}

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

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

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

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