What is the general solution for sec(θ)= 5/3 ?

The general solution for sec(θ)= 5/3 is θ=0.92729…+2pin,θ=2pi-0.92729…+2pin

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sec(θ)= 5/3

sec (θ) = \frac{5}{3}

θ = 0.92729 \dots + 2 πn, θ = 2 π - 0.92729 \dots + 2 πn

Degrees

θ = 53.13010 \dots^{\circ} + 36 0^{\circ} n, θ = 306.86989 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sec (θ) = \frac{5}{3}

Apply trig inverse properties

sec (θ) = \frac{5}{3}

General solutions for

sec (θ) = \frac{5}{3}

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

θ = arcsec (\frac{5}{3}) + 2 πn, θ = 2 π - arcsec (\frac{5}{3}) + 2 πn

θ = arcsec (\frac{5}{3}) + 2 πn, θ = 2 π - arcsec (\frac{5}{3}) + 2 πn

Show solutions in decimal form

θ = 0.92729 \dots + 2 πn, θ = 2 π - 0.92729 \dots + 2 πn

1 - cos (x) = 3 sin (x)

sin (θ) = \frac{7}{25}

tan (x) = \frac{4}{5}

6 sec (x) csc (x) = 12 csc (x)

2 tan^{2} (θ) + 3 tan (θ) = 0

What is the general solution for sec(θ)= 5/3 ?
The general solution for sec(θ)= 5/3 is θ=0.92729…+2pin,θ=2pi-0.92729…+2pin