What is the general solution for sec(x)-4=-sec(x) ?

The general solution for sec(x)-4=-sec(x) 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 >

sec(x)-4=-sec(x)

sec (x) - 4 = - sec (x)

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

Solution steps

sec (x) - 4 = - sec (x)

Solve by substitution

sec (x) = 2

sec (x) = 2 : x = \frac{π}{3} + 2 πn, x = \frac{5 π}{3} + 2 πn

Combine all the solutions

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

5 cos (x) = \frac{1}{cos ( x )}

(tan (x) + 1) (2 sin (x) - 3) = 0

33 + 2 tan (x) = 23 - tan (x)

(csc^{2} (x) - 2) (3 csc^{2} (x) - 4) = 0

2 sec (x) - 3 tan (x) = - tan (x)

What is the general solution for sec(x)-4=-sec(x) ?
The general solution for sec(x)-4=-sec(x) is x= pi/3+2pin,x=(5pi)/3+2pin