What is the general solution for 2+2cos(t)=6cos(t) ?

The general solution for 2+2cos(t)=6cos(t) is t= pi/3+2pin,t=(5pi)/3+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2+2cos(t)=6cos(t)

2 + 2 cos (t) = 6 cos (t)

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

Solution steps

2 + 2 cos (t) = 6 cos (t)

Solve by substitution

cos (t) = \frac{1}{2}

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

Combine all the solutions

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

2 cos (x) + 1 = cos (x)

sin (\frac{( 60 )}{7}) = sin (\frac{( 81 )}{a})

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

sin (\frac{x}{3}) = - 0.85

2 cos (3 θ) = 2

What is the general solution for 2+2cos(t)=6cos(t) ?
The general solution for 2+2cos(t)=6cos(t) is t= pi/3+2pin,t=(5pi)/3+2pin