What is the general solution for sec(θ)=-5/4 ?

The general solution for sec(θ)=-5/4 is θ=2.49809…+2pin,θ=-2.49809…+2pin

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sec(θ)=-5/4

sec (θ) = - \frac{5}{4}

θ = 2.49809 \dots + 2 πn, θ = - 2.49809 \dots + 2 πn

Degrees

θ = 143.13010 \dots^{\circ} + 36 0^{\circ} n, θ = - 143.13010 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sec (θ) = - \frac{5}{4}

Apply trig inverse properties

sec (θ) = - \frac{5}{4}

General solutions for

sec (θ) = - \frac{5}{4}

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

θ = arcsec (- \frac{5}{4}) + 2 πn, θ = - arcsec (- \frac{5}{4}) + 2 πn

θ = arcsec (- \frac{5}{4}) + 2 πn, θ = - arcsec (- \frac{5}{4}) + 2 πn

Show solutions in decimal form

θ = 2.49809 \dots + 2 πn, θ = - 2.49809 \dots + 2 πn

sin^{2} (x) - 4 sin (x) + 1 = 0

6 sin (2 x) + 2 sin (x) = 0

3 sin^{2} (w) - 4 sin (w) - 4 = 0

sin (θ) = \frac{9}{10}

2 sec^{2} (x) - tan^{2} (x) = 3

What is the general solution for sec(θ)=-5/4 ?
The general solution for sec(θ)=-5/4 is θ=2.49809…+2pin,θ=-2.49809…+2pin