What is the general solution for sec(θ)= 9/7 ?

The general solution for sec(θ)= 9/7 is θ=0.67967…+2pin,θ=2pi-0.67967…+2pin

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sec(θ)= 9/7

sec (θ) = \frac{9}{7}

θ = 0.67967 \dots + 2 πn, θ = 2 π - 0.67967 \dots + 2 πn

Degrees

θ = 38.94244 \dots^{\circ} + 36 0^{\circ} n, θ = 321.05755 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sec (θ) = \frac{9}{7}

Apply trig inverse properties

sec (θ) = \frac{9}{7}

General solutions for

sec (θ) = \frac{9}{7}

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

θ = arcsec (\frac{9}{7}) + 2 πn, θ = 2 π - arcsec (\frac{9}{7}) + 2 πn

θ = arcsec (\frac{9}{7}) + 2 πn, θ = 2 π - arcsec (\frac{9}{7}) + 2 πn

Show solutions in decimal form

θ = 0.67967 \dots + 2 πn, θ = 2 π - 0.67967 \dots + 2 πn

4 cos (x - π) = 4

cot (x) (tan (x) - \frac{3}{3}) = 0

3 = sec (x)

2 cos (2 x) = 1

2 csc^{2} (x) = 1 + cos (x)

What is the general solution for sec(θ)= 9/7 ?
The general solution for sec(θ)= 9/7 is θ=0.67967…+2pin,θ=2pi-0.67967…+2pin