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

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

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solvefor θ,x=sec(θ)

solve for

θ, x = sec (θ)

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

Solution steps

x = sec (θ)

Switch sides

sec (θ) = x

Apply trig inverse properties

sec (θ) = x

General solutions for

sec (θ) = x

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

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

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

sin (x) + cos (x) = - 1, 0 \leq x \leq 2 π

229 cos (a) + 14715 sin (a) = 3959.55

sin (x) + 0.3 = \frac{cos ( x )}{2}

2 sin^{2} (x) + 3 sin (x) - 2 = 0, 0 \leq x < 2 π

1 - 2 cos (x) = 0, (0, 2 π)

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