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

The general solution for solvefor x,sec(x)=3 is x=1.23095…+2pin,x=2pi-1.23095…+2pin

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solvefor x,sec(x)=3

solve for

x, sec (x) = 3

x = 1.23095 \dots + 2 πn, x = 2 π - 1.23095 \dots + 2 πn

Degrees

x = 70.52877 \dots^{\circ} + 36 0^{\circ} n, x = 289.47122 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sec (x) = 3

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

Show solutions in decimal form

x = 1.23095 \dots + 2 πn, x = 2 π - 1.23095 \dots + 2 πn

cot (θ - 3 0^{\circ}) = \frac{1}{3}

(cot (x) - 3) (csc (x) + 2) = 0

sin (x) = \frac{7}{9.4}

cos (x) = \frac{6}{11}

3 cos^{2} (x) + 5 sin (x) - 1 = 0

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