What is the general solution for 3sec(x)-1=2 ?

The general solution for 3sec(x)-1=2 is x=2pin

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3sec(x)-1=2

3 sec (x) - 1 = 2

x = 2 πn

Degrees

x = 0^{\circ} + 36 0^{\circ} n

Solution steps

3 sec (x) - 1 = 2

Move

1

to the right side

3 sec (x) - 1 = 2

Add

1

to both sides

3 sec (x) - 1 + 1 = 2 + 1

Simplify

3 sec (x) = 3

3 sec (x) = 3

Divide both sides by

3

3 sec (x) = 3

Divide both sides by

3

\frac{3 sec ( x )}{3} = \frac{3}{3}

Simplify

sec (x) = 1

sec (x) = 1

General solutions for

sec (x) = 1

sec (x)

periodicity table with

2 πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} sec (x) 1 \frac{2 3}{3} 22 Undefined - 2 - 2 - \frac{2 3}{3} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} sec (x) - 1 - \frac{2 3}{3} - 2 - 2 Undefined 22 \frac{2 3}{3}

x = 0 + 2 πn

x = 0 + 2 πn

Solve

x = 0 + 2 πn : x = 2 πn

x = 0 + 2 πn

0 + 2 πn = 2 πn

x = 2 πn

x = 2 πn

sec (x) = 6

sin (θ) = \frac{8}{12}

y, \int x d x = csc^{2} (\frac{y}{2})

sec (x) + 2 = 0, - π \leq x \leq \frac{3 π}{2}

sin^{2} (x) = \frac{1}{9}

What is the general solution for 3sec(x)-1=2 ?
The general solution for 3sec(x)-1=2 is x=2pin