What is the general solution for 6cos^2(x)+12cos(x)+6=0 ?

The general solution for 6cos^2(x)+12cos(x)+6=0 is x=pi+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

6cos^2(x)+12cos(x)+6=0

6 cos^{2} (x) + 12 cos (x) + 6 = 0

x = π + 2 πn

Solution steps

6 cos^{2} (x) + 12 cos (x) + 6 = 0

Solve by substitution

cos (x) = - 1

cos (x) = - 1 : x = π + 2 πn

Combine all the solutions

x = π + 2 πn

9 cos^{2} (x) + sin^{2} (x) = 3

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

tan^{2} (θ) = 1 - sec^{2} (θ)

x, sin (4 x) = 0

cot (θ) = - \frac{7}{8}

What is the general solution for 6cos^2(x)+12cos(x)+6=0 ?
The general solution for 6cos^2(x)+12cos(x)+6=0 is x=pi+2pin