What is the general solution for sec(θ)=8 ?

The general solution for sec(θ)=8 is θ=1.44546…+2pin,θ=2pi-1.44546…+2pin

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sec(θ)=8

sec (θ) = 8

θ = 1.44546 \dots + 2 πn, θ = 2 π - 1.44546 \dots + 2 πn

Degrees

θ = 82.81924 \dots^{\circ} + 36 0^{\circ} n, θ = 277.18075 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sec (θ) = 8

Apply trig inverse properties

sec (θ) = 8

General solutions for

sec (θ) = 8

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

θ = arcsec (8) + 2 πn, θ = 2 π - arcsec (8) + 2 πn

θ = arcsec (8) + 2 πn, θ = 2 π - arcsec (8) + 2 πn

Show solutions in decimal form

θ = 1.44546 \dots + 2 πn, θ = 2 π - 1.44546 \dots + 2 πn

x, 2 cos (2 x) = 0

tan (2 θ) + tan (2 θ) sin (2 θ) = 0

3 cot (\frac{1}{4} x) = 3

4 sin (x) - cos (2 x) = 1

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

What is the general solution for sec(θ)=8 ?
The general solution for sec(θ)=8 is θ=1.44546…+2pin,θ=2pi-1.44546…+2pin