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

The general solution for sec(x)=-5/3 is x=2.21429…+2pin,x=-2.21429…+2pin

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sec(x)=-5/3

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

x = 2.21429 \dots + 2 πn, x = - 2.21429 \dots + 2 πn

Degrees

x = 126.86989 \dots^{\circ} + 36 0^{\circ} n, x = - 126.86989 \dots^{\circ} + 36 0^{\circ} n

Solution steps

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

Apply trig inverse properties

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

General solutions for

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

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

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

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

Show solutions in decimal form

x = 2.21429 \dots + 2 πn, x = - 2.21429 \dots + 2 πn

What is the general solution for sec(x)=-5/3 ?
The general solution for sec(x)=-5/3 is x=2.21429…+2pin,x=-2.21429…+2pin