What is the general solution for sec(θ)= 25/7 ?

The general solution for sec(θ)= 25/7 is θ=1.28700…+2pin,θ=2pi-1.28700…+2pin

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sec(θ)= 25/7

sec (θ) = \frac{25}{7}

θ = 1.28700 \dots + 2 πn, θ = 2 π - 1.28700 \dots + 2 πn

Degrees

θ = 73.73979 \dots^{\circ} + 36 0^{\circ} n, θ = 286.26020 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sec (θ) = \frac{25}{7}

Apply trig inverse properties

sec (θ) = \frac{25}{7}

General solutions for

sec (θ) = \frac{25}{7}

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

θ = arcsec (\frac{25}{7}) + 2 πn, θ = 2 π - arcsec (\frac{25}{7}) + 2 πn

θ = arcsec (\frac{25}{7}) + 2 πn, θ = 2 π - arcsec (\frac{25}{7}) + 2 πn

Show solutions in decimal form

θ = 1.28700 \dots + 2 πn, θ = 2 π - 1.28700 \dots + 2 πn

(3 + sin (x))^{2} = 13 - cos^{2} (x)

sec (x) = 3, \frac{3 π}{2} \leq x \leq 2 π

tan (2 x) = cot (3 x)

sin (x) = \infty

- e^{- s i n (x)} (sin (x) + cos^{2} (x)) = 0

What is the general solution for sec(θ)= 25/7 ?
The general solution for sec(θ)= 25/7 is θ=1.28700…+2pin,θ=2pi-1.28700…+2pin