What is the general solution for 3cos^2(x)+cos(x)-2=0 ?

The general solution for 3cos^2(x)+cos(x)-2=0 is x=0.84106…+2pin,x=2pi-0.84106…+2pin,x=pi+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3cos^2(x)+cos(x)-2=0

3 cos^{2} (x) + cos (x) - 2 = 0

x = 0.84106 \dots + 2 πn, x = 2 π - 0.84106 \dots + 2 πn, x = π + 2 πn

Solution steps

3 cos^{2} (x) + cos (x) - 2 = 0

Solve by substitution

cos (x) = \frac{2}{3}, cos (x) = - 1

cos (x) = \frac{2}{3} : x = arccos (\frac{2}{3}) + 2 πn, x = 2 π - arccos (\frac{2}{3}) + 2 πn

cos (x) = - 1 : x = π + 2 πn

Combine all the solutions

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

Show solutions in decimal form

x = 0.84106 \dots + 2 πn, x = 2 π - 0.84106 \dots + 2 πn, x = π + 2 πn

sinh^{2} (x) + 3 tanh^{2} (x) = 4

\frac{sin ( 5 1 ^{\circ} )}{18} = \frac{sin ( c )}{17}

0 = \frac{1}{2} cos (82 t) + \frac{1}{8} sin (82 t)

tan (θ) = - \frac{15}{8}

3 cos (x) cot (x) + 7 = 5 csc (x)

What is the general solution for 3cos^2(x)+cos(x)-2=0 ?
The general solution for 3cos^2(x)+cos(x)-2=0 is x=0.84106…+2pin,x=2pi-0.84106…+2pin,x=pi+2pin