What is the general solution for sec(θ)= 6/5 ?

The general solution for sec(θ)= 6/5 is θ=0.58568…+2pin,θ=2pi-0.58568…+2pin

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sec(θ)= 6/5

sec (θ) = \frac{6}{5}

θ = 0.58568 \dots + 2 πn, θ = 2 π - 0.58568 \dots + 2 πn

Degrees

θ = 33.55730 \dots^{\circ} + 36 0^{\circ} n, θ = 326.44269 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sec (θ) = \frac{6}{5}

Apply trig inverse properties

sec (θ) = \frac{6}{5}

General solutions for

sec (θ) = \frac{6}{5}

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

θ = arcsec (\frac{6}{5}) + 2 πn, θ = 2 π - arcsec (\frac{6}{5}) + 2 πn

θ = arcsec (\frac{6}{5}) + 2 πn, θ = 2 π - arcsec (\frac{6}{5}) + 2 πn

Show solutions in decimal form

θ = 0.58568 \dots + 2 πn, θ = 2 π - 0.58568 \dots + 2 πn

3 cos (x) + 4 sin (x) = 0

0 = 2 sin (θ)

sin (\frac{π}{2} + x) = - cot (x)

tan (A) = - 1

sin (x) = - \frac{5}{8}

What is the general solution for sec(θ)= 6/5 ?
The general solution for sec(θ)= 6/5 is θ=0.58568…+2pin,θ=2pi-0.58568…+2pin