What is the general solution for 15cos(θ)=7+cos(θ) ?

The general solution for 15cos(θ)=7+cos(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 >

15cos(θ)=7+cos(θ)

15 cos (θ) = 7 + cos (θ)

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

Solution steps

15 cos (θ) = 7 + 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

2 cos (3 x) = 2

tan^{2} (\frac{x}{2}) - tan (\frac{x}{2}) - 2 = 0

tan (x) = \frac{- 3}{4}

sin (x) = - 2 sin^{2} (x)

3 cos (θ) = sin (θ)

What is the general solution for 15cos(θ)=7+cos(θ) ?
The general solution for 15cos(θ)=7+cos(θ) is θ= pi/3+2pin,θ=(5pi)/3+2pin