What is the general solution for 4cos^2(x)-3cos(x)-2=0 ?

The general solution for 4cos^2(x)-3cos(x)-2=0 is x=2.01018…+2pin,x=-2.01018…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4cos^2(x)-3cos(x)-2=0

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

x = 2.01018 \dots + 2 πn, x = - 2.01018 \dots + 2 πn

Solution steps

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

Solve by substitution

cos (x) = \frac{3 + 41}{8}, cos (x) = \frac{3 - 41}{8}

cos (x) = \frac{3 + 41}{8} :

No Solution

cos (x) = \frac{3 - 41}{8} : x = arccos (\frac{3 - 41}{8}) + 2 πn, x = - arccos (\frac{3 - 41}{8}) + 2 πn

Combine all the solutions

x = arccos (\frac{3 - 41}{8}) + 2 πn, x = - arccos (\frac{3 - 41}{8}) + 2 πn

Show solutions in decimal form

x = 2.01018 \dots + 2 πn, x = - 2.01018 \dots + 2 πn

sin (x) = cos (3 x)

x, y = 5 sin (\frac{x}{4})

3 sin (\frac{π}{3} x) = 2

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

4 cos (θ) = 1 + 2 cos (θ)

What is the general solution for 4cos^2(x)-3cos(x)-2=0 ?
The general solution for 4cos^2(x)-3cos(x)-2=0 is x=2.01018…+2pin,x=-2.01018…+2pin