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

The general solution for sec(θ)=3 is θ=1.23095…+2pin,θ=2pi-1.23095…+2pin

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sec(θ)=3

sec (θ) = 3

θ = 1.23095 \dots + 2 πn, θ = 2 π - 1.23095 \dots + 2 πn

Degrees

θ = 70.52877 \dots^{\circ} + 36 0^{\circ} n, θ = 289.47122 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sec (θ) = 3

Apply trig inverse properties

sec (θ) = 3

General solutions for

sec (θ) = 3

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

θ = arcsec (3) + 2 πn, θ = 2 π - arcsec (3) + 2 πn

θ = arcsec (3) + 2 πn, θ = 2 π - arcsec (3) + 2 πn

Show solutions in decimal form

θ = 1.23095 \dots + 2 πn, θ = 2 π - 1.23095 \dots + 2 πn

6 cos (x) = 0

sin (2 θ) - sin (4 θ) = 0

2 cos^{2} (x) + 7 cos (x) + 3 = 0

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

2 cos (x) + 2 sin (x) tan (x) = 4

What is the general solution for sec(θ)=3 ?
The general solution for sec(θ)=3 is θ=1.23095…+2pin,θ=2pi-1.23095…+2pin