What is the general solution for -6cos(x)=2-2cos(x) ?

The general solution for -6cos(x)=2-2cos(x) is x=(2pi)/3+2pin,x=(4pi)/3+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

-6cos(x)=2-2cos(x)

- 6 cos (x) = 2 - 2 cos (x)

x = \frac{2 π}{3} + 2 πn, x = \frac{4 π}{3} + 2 πn

Solution steps

- 6 cos (x) = 2 - 2 cos (x)

Solve by substitution

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

cos (x) = - \frac{1}{2} : x = \frac{2 π}{3} + 2 πn, x = \frac{4 π}{3} + 2 πn

Combine all the solutions

x = \frac{2 π}{3} + 2 πn, x = \frac{4 π}{3} + 2 πn

3 (1 + cos (θ)) = 3

x, y = arccos (x)

arctan (x + \frac{1}{3}) + arctan (x - \frac{1}{3}) = arctan (2)

sin (θ) = 0, 64

cos (3 x) = cos (2 x)

What is the general solution for -6cos(x)=2-2cos(x) ?
The general solution for -6cos(x)=2-2cos(x) is x=(2pi)/3+2pin,x=(4pi)/3+2pin