What is the general solution for sec(α)= 9/5 ?

The general solution for sec(α)= 9/5 is α=0.98176…+2pin,α=2pi-0.98176…+2pin

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sec(α)= 9/5

sec (α) = \frac{9}{5}

α = 0.98176 \dots + 2 πn, α = 2 π - 0.98176 \dots + 2 πn

Degrees

α = 56.25101 \dots^{\circ} + 36 0^{\circ} n, α = 303.74898 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sec (α) = \frac{9}{5}

Apply trig inverse properties

sec (α) = \frac{9}{5}

General solutions for

sec (α) = \frac{9}{5}

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

α = arcsec (\frac{9}{5}) + 2 πn, α = 2 π - arcsec (\frac{9}{5}) + 2 πn

α = arcsec (\frac{9}{5}) + 2 πn, α = 2 π - arcsec (\frac{9}{5}) + 2 πn

Show solutions in decimal form

α = 0.98176 \dots + 2 πn, α = 2 π - 0.98176 \dots + 2 πn

cos^{2} (x) + sin (x) = \frac{5}{4}

\frac{8.87}{9.8} = sin (α) - 0.1 1 - sin^{2} (α)

tan (x) cos (x) + tan (x) = 0

sin (θ) = 508

2 = csc (x) cot (x)

What is the general solution for sec(α)= 9/5 ?
The general solution for sec(α)= 9/5 is α=0.98176…+2pin,α=2pi-0.98176…+2pin