What is the general solution for sec(x)-4=0 ?

The general solution for sec(x)-4=0 is x=1.31811…+2pin,x=2pi-1.31811…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sec(x)-4=0

sec (x) - 4 = 0

x = 1.31811 \dots + 2 πn, x = 2 π - 1.31811 \dots + 2 πn

Degrees

x = 75.52248 \dots^{\circ} + 36 0^{\circ} n, x = 284.47751 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sec (x) - 4 = 0

Move

4

to the right side

sec (x) - 4 = 0

Add

4

to both sides

sec (x) - 4 + 4 = 0 + 4

Simplify

sec (x) = 4

sec (x) = 4

Apply trig inverse properties

sec (x) = 4

General solutions for

sec (x) = 4

sec (x) = a \Rightarrow x = arcsec (a) + 2 πn, x = 2 π - arcsec (a) + 2 πn

x = arcsec (4) + 2 πn, x = 2 π - arcsec (4) + 2 πn

x = arcsec (4) + 2 πn, x = 2 π - arcsec (4) + 2 πn

Show solutions in decimal form

x = 1.31811 \dots + 2 πn, x = 2 π - 1.31811 \dots + 2 πn

csc (θ) - cot^{2} (θ) + 1 = 0

sin (x - 4 0^{\circ}) = 1

sin (x) = - cos (x), - 2 π \leq x \leq 2 π

sin (θ) = - \frac{7}{8}

sin^{2} (x) sec (x) cot (x) = \frac{3}{2}

What is the general solution for sec(x)-4=0 ?
The general solution for sec(x)-4=0 is x=1.31811…+2pin,x=2pi-1.31811…+2pin