What is the general solution for 3-6cos(x+pi/3)=0 ?

The general solution for 3-6cos(x+pi/3)=0 is x=2pin,x=2pin+(4pi)/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3-6cos(x+pi/3)=0

3 - 6 cos (x + \frac{π}{3}) = 0

x = 2 πn, x = 2 πn + \frac{4 π}{3}

Solution steps

3 - 6 cos (x + \frac{π}{3}) = 0

Move

3

to the right side

- 6 cos (x + \frac{π}{3}) = - 3

Divide both sides by

- 6

cos (x + \frac{π}{3}) = \frac{1}{2}

General solutions for

cos (x + \frac{π}{3}) = \frac{1}{2}

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

Solve

x + \frac{π}{3} = \frac{π}{3} + 2 πn : x = 2 πn

Solve

x + \frac{π}{3} = \frac{5 π}{3} + 2 πn : x = 2 πn + \frac{4 π}{3}

x = 2 πn, x = 2 πn + \frac{4 π}{3}

sin (7.07 t) = 0.5

tan (x) = \frac{1}{3}, 0 \leq x < 2 π

- 2 sin (2 x) = 2 π

arccos (θ) = \frac{17}{18}

cos (θ) = - \frac{2}{9}

What is the general solution for 3-6cos(x+pi/3)=0 ?
The general solution for 3-6cos(x+pi/3)=0 is x=2pin,x=2pin+(4pi)/3