What is the general solution for sec(x)= 5/3 ?

The general solution for sec(x)= 5/3 is x=0.92729…+2pin,x=2pi-0.92729…+2pin

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sec(x)= 5/3

sec (x) = \frac{5}{3}

x = 0.92729 \dots + 2 πn, x = 2 π - 0.92729 \dots + 2 πn

Solution steps

sec (x) = \frac{5}{3}

Apply trig inverse properties

x = arcsec (\frac{5}{3}) + 2 πn, x = 2 π - arcsec (\frac{5}{3}) + 2 πn

Show solutions in decimal form

x = 0.92729 \dots + 2 πn, x = 2 π - 0.92729 \dots + 2 πn

x, y = \frac{sec ( x )}{cos ^{1} ( x )} + 8 y^{2}

3 cot^{2} (θ) - 4 csc (θ) = 1

sin (2 x) sin (x) = 0

4 - sin (θ) = cos (2 θ)

sin (θ) = - 0.3

What is the general solution for sec(x)= 5/3 ?
The general solution for sec(x)= 5/3 is x=0.92729…+2pin,x=2pi-0.92729…+2pin