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

The general solution for sec(θ)=-sqrt(5) is θ=2.03444…+2pin,θ=-2.03444…+2pin

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sec(θ)=-sqrt(5)

sec (θ) = - 5

θ = 2.03444 \dots + 2 πn, θ = - 2.03444 \dots + 2 πn

Solution steps

sec (θ) = - 5

Apply trig inverse properties

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

Show solutions in decimal form

θ = 2.03444 \dots + 2 πn, θ = - 2.03444 \dots + 2 πn

sin^{3} (x) = \frac{1}{2}

sin (2 x) - 3 cos (x) = 0

5 sin^{2} (x) - sin (x) = 0

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

3 tan (2 θ) - 1 = 0

What is the general solution for sec(θ)=-sqrt(5) ?
The general solution for sec(θ)=-sqrt(5) is θ=2.03444…+2pin,θ=-2.03444…+2pin