What is the general solution for sec(θ)=-7/(sqrt(13)) ?

The general solution for sec(θ)=-7/(sqrt(13)) is θ=2.11189…+2pin,θ=-2.11189…+2pin

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sec(θ)=-7/(sqrt(13))

sec (θ) = - \frac{7}{13}

θ = 2.11189 \dots + 2 πn, θ = - 2.11189 \dots + 2 πn

Solution steps

sec (θ) = - \frac{7}{13}

Simplify

- \frac{7}{13} : - \frac{7 13}{13}

Apply trig inverse properties

θ = arcsec (- \frac{7 13}{13}) + 2 πn, θ = - arcsec (- \frac{7 13}{13}) + 2 πn

Show solutions in decimal form

θ = 2.11189 \dots + 2 πn, θ = - 2.11189 \dots + 2 πn

tan (x) = - \infty

tan (2 x) = - tan (x) 2

2 sin^{2} (x) - 5 sin (x) - 12 = 0

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

tan (2 x) + tan (4 x) = 0

What is the general solution for sec(θ)=-7/(sqrt(13)) ?
The general solution for sec(θ)=-7/(sqrt(13)) is θ=2.11189…+2pin,θ=-2.11189…+2pin