What is the general solution for sec(θ)=-4/3 ?

The general solution for sec(θ)=-4/3 is θ=2.41885…+2pin,θ=-2.41885…+2pin

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sec(θ)=-4/3

sec (θ) = - \frac{4}{3}

θ = 2.41885 \dots + 2 πn, θ = - 2.41885 \dots + 2 πn

Degrees

θ = 138.59037 \dots^{\circ} + 36 0^{\circ} n, θ = - 138.59037 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sec (θ) = - \frac{4}{3}

Apply trig inverse properties

sec (θ) = - \frac{4}{3}

General solutions for

sec (θ) = - \frac{4}{3}

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

θ = arcsec (- \frac{4}{3}) + 2 πn, θ = - arcsec (- \frac{4}{3}) + 2 πn

θ = arcsec (- \frac{4}{3}) + 2 πn, θ = - arcsec (- \frac{4}{3}) + 2 πn

Show solutions in decimal form

θ = 2.41885 \dots + 2 πn, θ = - 2.41885 \dots + 2 πn

tan (2 x) = tan (201 8^{\circ})

- sin (x) + 2 cos^{2} (x) = 1

\frac{6}{π} - 4 sin (2 x) = 0

sin (t) = \frac{1}{5}

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

What is the general solution for sec(θ)=-4/3 ?
The general solution for sec(θ)=-4/3 is θ=2.41885…+2pin,θ=-2.41885…+2pin