What is the general solution for sec(x)=-4 ?

The general solution for sec(x)=-4 is x=1.82347…+2pin,x=-1.82347…+2pin

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sec(x)=-4

sec (x) = - 4

x = 1.82347 \dots + 2 πn, x = - 1.82347 \dots + 2 πn

Solution steps

sec (x) = - 4

Apply trig inverse properties

x = arcsec (- 4) + 2 πn, x = - arcsec (- 4) + 2 πn

Show solutions in decimal form

x = 1.82347 \dots + 2 πn, x = - 1.82347 \dots + 2 πn

g, θ (t) = - 1 cos (\frac{g}{l} t)

sec (x) = - 3

2 tan (x) csc (x) + 2 csc (x) + tan (x) + 1 = 0

csc (x) + cot (x) = 3, 0 \leq x \leq 2 π

(tan^{2} (x) - 4) (2 cos (x) + 1) = 0

What is the general solution for sec(x)=-4 ?
The general solution for sec(x)=-4 is x=1.82347…+2pin,x=-1.82347…+2pin