What is the general solution for sec(θ)=-4 ?

The general solution for sec(θ)=-4 is θ=1.82347…+2pin,θ=-1.82347…+2pin

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sec(θ)=-4

sec (θ) = - 4

θ = 1.82347 \dots + 2 πn, θ = - 1.82347 \dots + 2 πn

Degrees

θ = 104.47751 \dots^{\circ} + 36 0^{\circ} n, θ = - 104.47751 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sec (θ) = - 4

Apply trig inverse properties

sec (θ) = - 4

General solutions for

sec (θ) = - 4

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

θ = arcsec (- 4) + 2 πn, θ = - arcsec (- 4) + 2 πn

θ = arcsec (- 4) + 2 πn, θ = - arcsec (- 4) + 2 πn

Show solutions in decimal form

θ = 1.82347 \dots + 2 πn, θ = - 1.82347 \dots + 2 πn

sin (x^{2} + 1) = 0

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

1 + cos (x) = 3 sin (x)

3 sin (x) = 0

1 + sin (x) = cos (x)

What is the general solution for sec(θ)=-4 ?
The general solution for sec(θ)=-4 is θ=1.82347…+2pin,θ=-1.82347…+2pin