What is the general solution for sec(θ)=sqrt(6) ?

The general solution for sec(θ)=sqrt(6) is θ=1.15026…+2pin,θ=2pi-1.15026…+2pin

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sec(θ)=sqrt(6)

sec (θ) = 6

θ = 1.15026 \dots + 2 πn, θ = 2 π - 1.15026 \dots + 2 πn

Solution steps

sec (θ) = 6

Apply trig inverse properties

θ = arcsec (6) + 2 πn, θ = 2 π - arcsec (6) + 2 πn

Show solutions in decimal form

θ = 1.15026 \dots + 2 πn, θ = 2 π - 1.15026 \dots + 2 πn

tan (2 x - \frac{π}{3}) = - 3

3 sin^{2} (2 θ) + 8 cos (2 θ) = 0

cos (2 x - \frac{π}{3}) = \frac{1}{2}

sin (θ) = \frac{7}{11}

12 sin (t) cos (t) = 8 sin (t)

What is the general solution for sec(θ)=sqrt(6) ?
The general solution for sec(θ)=sqrt(6) is θ=1.15026…+2pin,θ=2pi-1.15026…+2pin