What is the general solution for sec(θ)= 7/5 ?

The general solution for sec(θ)= 7/5 is θ=0.77519…+2pin,θ=2pi-0.77519…+2pin

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sec(θ)= 7/5

sec (θ) = \frac{7}{5}

θ = 0.77519 \dots + 2 πn, θ = 2 π - 0.77519 \dots + 2 πn

Solution steps

sec (θ) = \frac{7}{5}

Apply trig inverse properties

θ = arcsec (\frac{7}{5}) + 2 πn, θ = 2 π - arcsec (\frac{7}{5}) + 2 πn

Show solutions in decimal form

θ = 0.77519 \dots + 2 πn, θ = 2 π - 0.77519 \dots + 2 πn

\frac{sin ( x )}{cos ( x )} = 0

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

8 cos (x) - 42 = 0

3 csc (x) - 23 = 0

x, arccos (x) = \frac{1}{2}

What is the general solution for sec(θ)= 7/5 ?
The general solution for sec(θ)= 7/5 is θ=0.77519…+2pin,θ=2pi-0.77519…+2pin