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

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

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-1=sec(x)

- 1 = sec (x)

x = π + 2 πn

Degrees

x = 18 0^{\circ} + 36 0^{\circ} n

Solution steps

- 1 = sec (x)

Switch sides

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 = π + 2 πn

x = π + 2 πn

tan (x) = \frac{59}{36}

3 csc (θ) + 2 = 0, 0 \leq θ \leq 2 π

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

4 cos (t) = 3

(sin (2 x)) sin (x) = cos (x)

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