What is the general solution for 3+sec(x)=5 ?

The general solution for 3+sec(x)=5 is x= pi/3+2pin,x=(5pi)/3+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3+sec(x)=5

3 + sec (x) = 5

x = \frac{π}{3} + 2 πn, x = \frac{5 π}{3} + 2 πn

Degrees

x = 6 0^{\circ} + 36 0^{\circ} n, x = 30 0^{\circ} + 36 0^{\circ} n

Solution steps

3 + sec (x) = 5

Move

3

to the right side

3 + sec (x) = 5

Subtract

3

from both sides

3 + sec (x) - 3 = 5 - 3

Simplify

sec (x) = 2

sec (x) = 2

General solutions for

sec (x) = 2

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 = \frac{π}{3} + 2 πn, x = \frac{5 π}{3} + 2 πn

x = \frac{π}{3} + 2 πn, x = \frac{5 π}{3} + 2 πn

cos (x) = \frac{3}{30}

- 5 sin (t) + 9 cos (t) = 0

sin (2.5 x) = 2.75 cos (2.5 x)

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

- 3 = tan (x)

What is the general solution for 3+sec(x)=5 ?
The general solution for 3+sec(x)=5 is x= pi/3+2pin,x=(5pi)/3+2pin