What is the general solution for sec(x)=-4.5973 ?

The general solution for sec(x)=-4.5973 is x=1.79006…+2pin,x=-1.79006…+2pin

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sec(x)=-4.5973

sec (x) = - 4.5973

x = 1.79006 \dots + 2 πn, x = - 1.79006 \dots + 2 πn

Solution steps

sec (x) = - 4.5973

Apply trig inverse properties

x = arcsec (- 4.5973) + 2 πn, x = - arcsec (- 4.5973) + 2 πn

Show solutions in decimal form

x = 1.79006 \dots + 2 πn, x = - 1.79006 \dots + 2 πn

2 cos (9 x) = 2 - 2 cos (9 x)

sin (2 x) = 32, - π \leq x \leq π

5 cos^{2} (x) - 2 = 0

cos^{2} (x) + sec^{2} (x) = 11

5 cos^{2} (x) - 3 = 0

What is the general solution for sec(x)=-4.5973 ?
The general solution for sec(x)=-4.5973 is x=1.79006…+2pin,x=-1.79006…+2pin