What is the general solution for sec(θ)=-1.5 ?

The general solution for sec(θ)=-1.5 is θ=2.30052…+2pin,θ=-2.30052…+2pin

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sec(θ)=-1.5

sec (θ) = - 1.5

θ = 2.30052 \dots + 2 πn, θ = - 2.30052 \dots + 2 πn

Degrees

θ = 131.81031 \dots^{\circ} + 36 0^{\circ} n, θ = - 131.81031 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sec (θ) = - 1.5

Apply trig inverse properties

sec (θ) = - 1.5

General solutions for

sec (θ) = - 1.5

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

θ = arcsec (- 1.5) + 2 πn, θ = - arcsec (- 1.5) + 2 πn

θ = arcsec (- 1.5) + 2 πn, θ = - arcsec (- 1.5) + 2 πn

Show solutions in decimal form

θ = 2.30052 \dots + 2 πn, θ = - 2.30052 \dots + 2 πn

cos (x) = \frac{1}{2} 3

sin (2 x - 1 0^{\circ}) = cos (x + 4 0^{\circ})

sec (θ) = - 37

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

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

What is the general solution for sec(θ)=-1.5 ?
The general solution for sec(θ)=-1.5 is θ=2.30052…+2pin,θ=-2.30052…+2pin