What is the general solution for 3(sec(θ))=sqrt(10) ?

The general solution for 3(sec(θ))=sqrt(10) is θ=0.32175…+2pin,θ=2pi-0.32175…+2pin

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3(sec(θ))=sqrt(10)

3 (sec (θ)) = 10

θ = 0.32175 \dots + 2 πn, θ = 2 π - 0.32175 \dots + 2 πn

Solution steps

3 (sec (θ)) = 10

Divide both sides by

3

sec (θ) = \frac{10}{3}

Apply trig inverse properties

θ = arcsec (\frac{10}{3}) + 2 πn, θ = 2 π - arcsec (\frac{10}{3}) + 2 πn

Show solutions in decimal form

θ = 0.32175 \dots + 2 πn, θ = 2 π - 0.32175 \dots + 2 πn

2 sin^{2} (3 x) - 1 = 0

4 sin^{3} (x) + 2 sin^{2} (x) = 2 sin (x) + 1

(tan (x) + 1)^{2} = 0

cos (2 x) + 3 = 5 cos (x)

3 csc (θ) + 2 = 0

What is the general solution for 3(sec(θ))=sqrt(10) ?
The general solution for 3(sec(θ))=sqrt(10) is θ=0.32175…+2pin,θ=2pi-0.32175…+2pin