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

The general solution for sec(θ)=5 is θ=1.36943…+2pin,θ=2pi-1.36943…+2pin

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sec(θ)=5

sec (θ) = 5

θ = 1.36943 \dots + 2 πn, θ = 2 π - 1.36943 \dots + 2 πn

Degrees

θ = 78.46304 \dots^{\circ} + 36 0^{\circ} n, θ = 281.53695 \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 = 1.36943 \dots + 2 πn, θ = 2 π - 1.36943 \dots + 2 πn

sin^{4} (θ) - cos^{4} (θ) = 0

9 + 9 sin (θ) = 6 cos^{2} (θ)

cot (x) = \frac{1}{2}

sec (t) = 3

tan (θ) = - \frac{12}{5}

What is the general solution for sec(θ)=5 ?
The general solution for sec(θ)=5 is θ=1.36943…+2pin,θ=2pi-1.36943…+2pin