What is the general solution for sec(θ)=-5/3 ?

The general solution for sec(θ)=-5/3 is θ=2.21429…+2pin,θ=-2.21429…+2pin

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sec(θ)=-5/3

sec (θ) = - \frac{5}{3}

θ = 2.21429 \dots + 2 πn, θ = - 2.21429 \dots + 2 πn

Degrees

θ = 126.86989 \dots^{\circ} + 36 0^{\circ} n, θ = - 126.86989 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sec (θ) = - \frac{5}{3}

Apply trig inverse properties

sec (θ) = - \frac{5}{3}

General solutions for

sec (θ) = - \frac{5}{3}

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

θ = arcsec (- \frac{5}{3}) + 2 πn, θ = - arcsec (- \frac{5}{3}) + 2 πn

θ = arcsec (- \frac{5}{3}) + 2 πn, θ = - arcsec (- \frac{5}{3}) + 2 πn

Show solutions in decimal form

θ = 2.21429 \dots + 2 πn, θ = - 2.21429 \dots + 2 πn

3 sin (x) = 2 cos (x)

5 cot (x) + 2 csc^{2} (x) = 5

cos (2 x) = \frac{4}{5}

tan (x) = \frac{160}{85}

sin (x) a = π

What is the general solution for sec(θ)=-5/3 ?
The general solution for sec(θ)=-5/3 is θ=2.21429…+2pin,θ=-2.21429…+2pin