What is the general solution for sec(x)=3,(3pi)/2 <= x<= 2pi ?

The general solution for sec(x)=3,(3pi)/2 <= x<= 2pi is x=2pi-1.23095…

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sec(x)=3,(3pi)/2 <= x<= 2pi

sec (x) = 3, \frac{3 π}{2} \leq x \leq 2 π

x = 2 π - 1.23095 \dots

Degrees

x = 289.47122 \dots^{\circ}

Solution steps

sec (x) = 3, \frac{3 π}{2} \leq x \leq 2 π

Apply trig inverse properties

sec (x) = 3

General solutions for

sec (x) = 3

sec (x) = a \Rightarrow x = arcsec (a) + 2 πn, x = 2 π - arcsec (a) + 2 πn

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

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

Solutions for the range

\frac{3 π}{2} \leq x \leq 2 π

x = 2 π - arcsec (3)

Show solutions in decimal form

x = 2 π - 1.23095 \dots

What is the general solution for sec(x)=3,(3pi)/2 <= x<= 2pi ?
The general solution for sec(x)=3,(3pi)/2 <= x<= 2pi is x=2pi-1.23095…