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

The general solution for sec(x)+4=4sec(x) is x=0.72273…+2pin,x=2pi-0.72273…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sec(x)+4=4sec(x)

sec (x) + 4 = 4 sec (x)

x = 0.72273 \dots + 2 πn, x = 2 π - 0.72273 \dots + 2 πn

Solution steps

sec (x) + 4 = 4 sec (x)

Solve by substitution

sec (x) = \frac{4}{3}

sec (x) = \frac{4}{3} : x = arcsec (\frac{4}{3}) + 2 πn, x = 2 π - arcsec (\frac{4}{3}) + 2 πn

Combine all the solutions

x = arcsec (\frac{4}{3}) + 2 πn, x = 2 π - arcsec (\frac{4}{3}) + 2 πn

Show solutions in decimal form

x = 0.72273 \dots + 2 πn, x = 2 π - 0.72273 \dots + 2 πn

cos (x) + 2 cos (2 x) = 0

tan (θ) = - 15

sin (x) = \frac{6}{13}

cos (x) = - \frac{8}{17}

sin (x) = \frac{6.1}{9.9}

What is the general solution for sec(x)+4=4sec(x) ?
The general solution for sec(x)+4=4sec(x) is x=0.72273…+2pin,x=2pi-0.72273…+2pin