What is the general solution for 4cos(θ)=4-4cos(θ) ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4cos(θ)=4-4cos(θ)

4 cos (θ) = 4 - 4 cos (θ)

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

Solution steps

4 cos (θ) = 4 - 4 cos (θ)

Solve by substitution

cos (θ) = \frac{1}{2}

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

Combine all the solutions

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

sin^{2} (x) + 6 sin (x) + 5 = 0

cos (x) = \frac{1}{3}, 0 < x < \frac{π}{2}

3 + 2 sin (θ) = 3 + 2 cos (θ)

\frac{sin ( x )}{cos ( x )} = \frac{1}{3}

5 sin (θ) + 4 = 0

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