What is the general solution for sec(θ)= 10/6 ?

The general solution for sec(θ)= 10/6 is θ=0.92729…+2pin,θ=2pi-0.92729…+2pin

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sec(θ)= 10/6

sec (θ) = \frac{10}{6}

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{10}{6}

Cancel the common factor:

2

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

x, 2 cos (3 x) = - 3

x, 7 - 3 cos (x) = 9 sin^{2} (x)

4 sin (x) = 3 tan (x)

sin^{2} (x) + sin (x) = 1

x, c sin (m x) m = \frac{nπ}{a}

What is the general solution for sec(θ)= 10/6 ?
The general solution for sec(θ)= 10/6 is θ=0.92729…+2pin,θ=2pi-0.92729…+2pin