What is the general solution for sec(θ)=-37 ?

The general solution for sec(θ)=-37 is θ=1.59782…+2pin,θ=-1.59782…+2pin

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sec(θ)=-37

sec (θ) = - 37

θ = 1.59782 \dots + 2 πn, θ = - 1.59782 \dots + 2 πn

Degrees

θ = 91.54872 \dots^{\circ} + 36 0^{\circ} n, θ = - 91.54872 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sec (θ) = - 37

Apply trig inverse properties

sec (θ) = - 37

General solutions for

sec (θ) = - 37

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

θ = arcsec (- 37) + 2 πn, θ = - arcsec (- 37) + 2 πn

θ = arcsec (- 37) + 2 πn, θ = - arcsec (- 37) + 2 πn

Show solutions in decimal form

θ = 1.59782 \dots + 2 πn, θ = - 1.59782 \dots + 2 πn

4 sin (x) = 4 - cos^{2} (x)

2 sec^{2} (x) - 8 = 0

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

sin (x) - 2 cos (2 x) = - \frac{1}{2}

4 cos^{4} (x) - 1 = 0

What is the general solution for sec(θ)=-37 ?
The general solution for sec(θ)=-37 is θ=1.59782…+2pin,θ=-1.59782…+2pin