What is the general solution for sec(θ)= 13/12 ?

The general solution for sec(θ)= 13/12 is θ=0.39479…+2pin,θ=2pi-0.39479…+2pin

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sec(θ)= 13/12

sec (θ) = \frac{13}{12}

θ = 0.39479 \dots + 2 πn, θ = 2 π - 0.39479 \dots + 2 πn

Degrees

θ = 22.61986 \dots^{\circ} + 36 0^{\circ} n, θ = 337.38013 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sec (θ) = \frac{13}{12}

Apply trig inverse properties

sec (θ) = \frac{13}{12}

General solutions for

sec (θ) = \frac{13}{12}

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

θ = arcsec (\frac{13}{12}) + 2 πn, θ = 2 π - arcsec (\frac{13}{12}) + 2 πn

θ = arcsec (\frac{13}{12}) + 2 πn, θ = 2 π - arcsec (\frac{13}{12}) + 2 πn

Show solutions in decimal form

θ = 0.39479 \dots + 2 πn, θ = 2 π - 0.39479 \dots + 2 πn

What is the general solution for sec(θ)= 13/12 ?
The general solution for sec(θ)= 13/12 is θ=0.39479…+2pin,θ=2pi-0.39479…+2pin