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

The general solution for sec(x)=-sqrt(3) is x=2.18627…+2pin,x=-2.18627…+2pin

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sec(x)=-sqrt(3)

sec (x) = - 3

x = 2.18627 \dots + 2 πn, x = - 2.18627 \dots + 2 πn

Solution steps

sec (x) = - 3

Apply trig inverse properties

x = arcsec (- 3) + 2 πn, x = - arcsec (- 3) + 2 πn

Show solutions in decimal form

x = 2.18627 \dots + 2 πn, x = - 2.18627 \dots + 2 πn

1.5 = \frac{sin ( 4 5 ^{\circ} )}{sin ( x )}

sin (4 x) + sin (6 x) = 0

9 - 10 cos (2 x) = 0

2 cos^{2} (2 x) + 3 cos (2 x) + 1 = 0

(2 cos (x) + 2) (2 sin (x) + 2) = 0

What is the general solution for sec(x)=-sqrt(3) ?
The general solution for sec(x)=-sqrt(3) is x=2.18627…+2pin,x=-2.18627…+2pin