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

The general solution for sec(x)=-5 is x=1.77215…+2pin,x=-1.77215…+2pin

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sec(x)=-5

sec (x) = - 5

x = 1.77215 \dots + 2 πn, x = - 1.77215 \dots + 2 πn

Solution steps

sec (x) = - 5

Apply trig inverse properties

x = arcsec (- 5) + 2 πn, x = - arcsec (- 5) + 2 πn

Show solutions in decimal form

x = 1.77215 \dots + 2 πn, x = - 1.77215 \dots + 2 πn

sin (2 t - \frac{π}{5}) = - \frac{1}{3}

2 (sin (x))^{2} - cos (x) - 1 = 0

arctan (3 x) + arctan (x) = \frac{π}{4}

4 sin (θ) = 3 sec (θ), 0 \leq θ < 18 0^{\circ}

\frac{sin ( 8 2 ^{\circ} )}{sin ( x )} = 5

What is the general solution for sec(x)=-5 ?
The general solution for sec(x)=-5 is x=1.77215…+2pin,x=-1.77215…+2pin