What is the general solution for sec(θ)=-2.5 ?

The general solution for sec(θ)=-2.5 is θ=1.98231…+2pin,θ=-1.98231…+2pin

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sec(θ)=-2.5

sec (θ) = - 2.5

θ = 1.98231 \dots + 2 πn, θ = - 1.98231 \dots + 2 πn

Degrees

θ = 113.57817 \dots^{\circ} + 36 0^{\circ} n, θ = - 113.57817 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sec (θ) = - 2.5

Apply trig inverse properties

sec (θ) = - 2.5

General solutions for

sec (θ) = - 2.5

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

θ = arcsec (- 2.5) + 2 πn, θ = - arcsec (- 2.5) + 2 πn

θ = arcsec (- 2.5) + 2 πn, θ = - arcsec (- 2.5) + 2 πn

Show solutions in decimal form

θ = 1.98231 \dots + 2 πn, θ = - 1.98231 \dots + 2 πn

cos (4 x) = 0, 0 \leq x \leq 2 π

\frac{csc ( x )}{cot ( x )} = csc (x) sec (x)

sin (θ) = \frac{1}{3}

cos (θ) = 0.9

tan^{2} (x) = 2 tan (x)

What is the general solution for sec(θ)=-2.5 ?
The general solution for sec(θ)=-2.5 is θ=1.98231…+2pin,θ=-1.98231…+2pin