What is the general solution for sec(θ)= 7/6 ?

The general solution for sec(θ)= 7/6 is θ=0.54109…+2pin,θ=2pi-0.54109…+2pin

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sec(θ)= 7/6

sec (θ) = \frac{7}{6}

θ = 0.54109 \dots + 2 πn, θ = 2 π - 0.54109 \dots + 2 πn

Solution steps

sec (θ) = \frac{7}{6}

Apply trig inverse properties

θ = arcsec (\frac{7}{6}) + 2 πn, θ = 2 π - arcsec (\frac{7}{6}) + 2 πn

Show solutions in decimal form

θ = 0.54109 \dots + 2 πn, θ = 2 π - 0.54109 \dots + 2 πn

2 cos^{2} (x) + 7 sin (x) - 5 = 0

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sin (2 x) - (4) \cdot cos (x) = 0

cos (θ) = \frac{2}{7}

8 tan (2 x) - 16 cos (x) = 0

What is the general solution for sec(θ)= 7/6 ?
The general solution for sec(θ)= 7/6 is θ=0.54109…+2pin,θ=2pi-0.54109…+2pin