What is the general solution for sec(θ)=-7/4 ?

The general solution for sec(θ)=-7/4 is θ=2.17904…+2pin,θ=-2.17904…+2pin

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sec(θ)=-7/4

sec (θ) = - \frac{7}{4}

θ = 2.17904 \dots + 2 πn, θ = - 2.17904 \dots + 2 πn

Solution steps

sec (θ) = - \frac{7}{4}

Apply trig inverse properties

θ = arcsec (- \frac{7}{4}) + 2 πn, θ = - arcsec (- \frac{7}{4}) + 2 πn

Show solutions in decimal form

θ = 2.17904 \dots + 2 πn, θ = - 2.17904 \dots + 2 πn

arctan (x) = \infty

r = a (1 - sin (x))

(cos (θ)) (cos (θ)) + 1 = (sin (θ)) (sin (θ))

1 + 4 tan^{2} (θ) = sec^{2} (θ)

3 csc (x) = 4 + csc (x)

What is the general solution for sec(θ)=-7/4 ?
The general solution for sec(θ)=-7/4 is θ=2.17904…+2pin,θ=-2.17904…+2pin