What is the general solution for sec(x)=-3.5 ?

The general solution for sec(x)=-3.5 is x=1.86054…+2pin,x=-1.86054…+2pin

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sec(x)=-3.5

sec (x) = - 3.5

x = 1.86054 \dots + 2 πn, x = - 1.86054 \dots + 2 πn

Solution steps

sec (x) = - 3.5

Apply trig inverse properties

x = arcsec (- 3.5) + 2 πn, x = - arcsec (- 3.5) + 2 πn

Show solutions in decimal form

x = 1.86054 \dots + 2 πn, x = - 1.86054 \dots + 2 πn

(sin (x) - 1) = cos (x)

2 sin^{2} (x) = cos (2 x)

cos (x) = 0.96

2 sin (3 x) + 3 = 0

4 cos^{2} (θ) sin (θ) + 2 cos^{2} (θ) = 0

What is the general solution for sec(x)=-3.5 ?
The general solution for sec(x)=-3.5 is x=1.86054…+2pin,x=-1.86054…+2pin