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

The general solution for 4cos^2(x)+4cos(x)=3 is x= pi/3+2pin,x=(5pi)/3+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4cos^2(x)+4cos(x)=3

4 cos^{2} (x) + 4 cos (x) = 3

x = \frac{π}{3} + 2 πn, x = \frac{5 π}{3} + 2 πn

Solution steps

4 cos^{2} (x) + 4 cos (x) = 3

Solve by substitution

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

cos (x) = \frac{1}{2} : x = \frac{π}{3} + 2 πn, x = \frac{5 π}{3} + 2 πn

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

No Solution

Combine all the solutions

x = \frac{π}{3} + 2 πn, x = \frac{5 π}{3} + 2 πn

sec (2 x) csc (2 x) = 2 csc (2 x)

3 cos (x) tan (x) = - 10 tan (x)

sin (x) cos (x) + cos (x) = 0

4 cos^{2} (θ) = 2

2 cos (2 θ) + 3 = 0

What is the general solution for 4cos^2(x)+4cos(x)=3 ?
The general solution for 4cos^2(x)+4cos(x)=3 is x= pi/3+2pin,x=(5pi)/3+2pin