What is the general solution for sec(3x)-4=0 ?

The general solution for sec(3x)-4=0 is x=(1.31811…)/3+(2pin)/3 ,x=(2pi)/3-(1.31811…)/3+(2pin)/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sec(3x)-4=0

sec (3 x) - 4 = 0

x = \frac{1.31811 \dots}{3} + \frac{2 πn}{3}, x = \frac{2 π}{3} - \frac{1.31811 \dots}{3} + \frac{2 πn}{3}

Solution steps

sec (3 x) - 4 = 0

Move

4

to the right side

sec (3 x) = 4

Apply trig inverse properties

3 x = arcsec (4) + 2 πn, 3 x = 2 π - arcsec (4) + 2 πn

Solve

3 x = arcsec (4) + 2 πn : x = \frac{arcsec ( 4 )}{3} + \frac{2 πn}{3}

Solve

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

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

Show solutions in decimal form

x = \frac{1.31811 \dots}{3} + \frac{2 πn}{3}, x = \frac{2 π}{3} - \frac{1.31811 \dots}{3} + \frac{2 πn}{3}

6 sin^{2} (θ) + 5 sin (θ) = - 2 sin (θ) - 1

t, x = 5 cos (t)

tan (θ) = \frac{π}{2}

49 sin (2 β) = 25, tan (β) < 0

cos (θ) = - 0.076

What is the general solution for sec(3x)-4=0 ?
The general solution for sec(3x)-4=0 is x=(1.31811…)/3+(2pin)/3 ,x=(2pi)/3-(1.31811…)/3+(2pin)/3