What is the general solution for solvefor θ,x=5sec(θ) ?

The general solution for solvefor θ,x=5sec(θ) is θ=arcsec(x/5)+2pin,θ=-arcsec(x/5)+2pin

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solvefor θ,x=5sec(θ)

solve for

θ, x = 5 sec (θ)

θ = arcsec (\frac{x}{5}) + 2 πn, θ = - arcsec (\frac{x}{5}) + 2 πn

Solution steps

x = 5 sec (θ)

Switch sides

5 sec (θ) = x

Divide both sides by

5

sec (θ) = \frac{x}{5}

Apply trig inverse properties

θ = arcsec (\frac{x}{5}) + 2 πn, θ = - arcsec (\frac{x}{5}) + 2 πn

sec (3 x) - cos (3 0^{\circ}) = 0, \frac{x + 35}{5}

- 2 sin (x) + 3 = 0

sin (θ) = \frac{4}{5}, cos (θ) = \frac{3}{5}

sec (2 x) + tan (2 x) = 8

cos (θ) = \frac{1}{12}

What is the general solution for solvefor θ,x=5sec(θ) ?
The general solution for solvefor θ,x=5sec(θ) is θ=arcsec(x/5)+2pin,θ=-arcsec(x/5)+2pin