What is the general solution for sec(θ)=(3sqrt(2))/4 ?

The general solution for sec(θ)=(3sqrt(2))/4 is θ=0.33983…+2pin,θ=2pi-0.33983…+2pin

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sec(θ)=(3sqrt(2))/4

sec (θ) = \frac{3 2}{4}

θ = 0.33983 \dots + 2 πn, θ = 2 π - 0.33983 \dots + 2 πn

Degrees

θ = 19.47122 \dots^{\circ} + 36 0^{\circ} n, θ = 340.52877 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sec (θ) = \frac{3 2}{4}

Apply trig inverse properties

sec (θ) = \frac{3 2}{4}

General solutions for

sec (θ) = \frac{3 2}{4}

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

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

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

Show solutions in decimal form

θ = 0.33983 \dots + 2 πn, θ = 2 π - 0.33983 \dots + 2 πn

9 cos^{2} (x) - 18 cos (x) + 5 = 0

tan (θ) = \frac{7}{24}, sin^{2} (θ) + cos^{2} (θ)

(2 - 3) sin (x) + (2 - 3) = 2 cos^{2} (x)

tan (3 x) cot (x + 4 0^{\circ}) = 1

6 sin (x) = 2

What is the general solution for sec(θ)=(3sqrt(2))/4 ?
The general solution for sec(θ)=(3sqrt(2))/4 is θ=0.33983…+2pin,θ=2pi-0.33983…+2pin