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

The general solution for sec(x)=sqrt(3) is x=0.95531…+2pin,x=2pi-0.95531…+2pin

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sec(x)=sqrt(3)

sec (x) = 3

x = 0.95531 \dots + 2 πn, x = 2 π - 0.95531 \dots + 2 πn

Solution steps

sec (x) = 3

Apply trig inverse properties

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

Show solutions in decimal form

x = 0.95531 \dots + 2 πn, x = 2 π - 0.95531 \dots + 2 πn

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

8 sin (θ) + 5 = 0

2 cos^{2} (x) + 3 cos (x) = - 1, 0 \leq x \leq 2 π

9 cos (2 θ) = - 9 cos (θ)

3 sec^{2} (x) - 3 sec (x) = 6

What is the general solution for sec(x)=sqrt(3) ?
The general solution for sec(x)=sqrt(3) is x=0.95531…+2pin,x=2pi-0.95531…+2pin