What is the general solution for tan^2(x)-4sec(x)=4 ?

The general solution for tan^2(x)-4sec(x)=4 is x=1.36943…+2pin,x=2pi-1.36943…+2pin,x=pi+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

tan^2(x)-4sec(x)=4

tan^{2} (x) - 4 sec (x) = 4

x = 1.36943 \dots + 2 πn, x = 2 π - 1.36943 \dots + 2 πn, x = π + 2 πn

Solution steps

tan^{2} (x) - 4 sec (x) = 4

Subtract

4

from both sides

tan^{2} (x) - 4 sec (x) - 4 = 0

Rewrite using trig identities

- 5 + sec^{2} (x) - 4 sec (x) = 0

Solve by substitution

sec (x) = 5, sec (x) = - 1

sec (x) = 5 : x = arcsec (5) + 2 πn, x = 2 π - arcsec (5) + 2 πn

sec (x) = - 1 : x = π + 2 πn

Combine all the solutions

x = arcsec (5) + 2 πn, x = 2 π - arcsec (5) + 2 πn, x = π + 2 πn

Show solutions in decimal form

x = 1.36943 \dots + 2 πn, x = 2 π - 1.36943 \dots + 2 πn, x = π + 2 πn

sin (x + 1 0^{\circ}) = - tan (1 5^{\circ})

tan (2 θ) = \frac{73 - 8}{- 10}

x, T (7) = 3.15 cos (\frac{π}{6} x) + 19.15

tan (x) = \frac{- 3}{1}

\frac{( ( sin ( x ) ) )}{( a )} = k

What is the general solution for tan^2(x)-4sec(x)=4 ?
The general solution for tan^2(x)-4sec(x)=4 is x=1.36943…+2pin,x=2pi-1.36943…+2pin,x=pi+2pin