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

The general solution for sec(θ)=sqrt(5) is θ=1.10714…+2pin,θ=2pi-1.10714…+2pin

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sec(θ)=sqrt(5)

sec (θ) = 5

θ = 1.10714 \dots + 2 πn, θ = 2 π - 1.10714 \dots + 2 πn

Degrees

θ = 63.43494 \dots^{\circ} + 36 0^{\circ} n, θ = 296.56505 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sec (θ) = 5

Apply trig inverse properties

sec (θ) = 5

General solutions for

sec (θ) = 5

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

θ = arcsec (5) + 2 πn, θ = 2 π - arcsec (5) + 2 πn

θ = arcsec (5) + 2 πn, θ = 2 π - arcsec (5) + 2 πn

Show solutions in decimal form

θ = 1.10714 \dots + 2 πn, θ = 2 π - 1.10714 \dots + 2 πn

tan (w) - 3 tan (w) = 0

tan (φ) = - \frac{1}{2}

cos (θ) = \frac{1}{10}

2 = 2 sin (x)

cos^{2} (θ) + 2 cos (θ) + 1 = 0, 0 \leq θ \leq 2 π

What is the general solution for sec(θ)=sqrt(5) ?
The general solution for sec(θ)=sqrt(5) is θ=1.10714…+2pin,θ=2pi-1.10714…+2pin