What is the general solution for sec(θ)=-13/12 ?

The general solution for sec(θ)=-13/12 is θ=2.74680…+2pin,θ=-2.74680…+2pin

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sec(θ)=-13/12

sec (θ) = - \frac{13}{12}

θ = 2.74680 \dots + 2 πn, θ = - 2.74680 \dots + 2 πn

Degrees

θ = 157.38013 \dots^{\circ} + 36 0^{\circ} n, θ = - 157.38013 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sec (θ) = - \frac{13}{12}

Apply trig inverse properties

sec (θ) = - \frac{13}{12}

General solutions for

sec (θ) = - \frac{13}{12}

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

θ = arcsec (- \frac{13}{12}) + 2 πn, θ = - arcsec (- \frac{13}{12}) + 2 πn

θ = arcsec (- \frac{13}{12}) + 2 πn, θ = - arcsec (- \frac{13}{12}) + 2 πn

Show solutions in decimal form

θ = 2.74680 \dots + 2 πn, θ = - 2.74680 \dots + 2 πn

0 = - sin (x) - cos (x)

9 sin (θ) - 7 = 0

csc (2 x) = 2

sin (4 x) cos (x) - sin (x) cos (4 x) = \frac{3}{2}

7 sin (θ) + 1 = 5 sin (θ)

What is the general solution for sec(θ)=-13/12 ?
The general solution for sec(θ)=-13/12 is θ=2.74680…+2pin,θ=-2.74680…+2pin