What is the general solution for (tan(θ)+1)(tan(θ)-sqrt(3))=0 ?

The general solution for (tan(θ)+1)(tan(θ)-sqrt(3))=0 is θ=(3pi)/4+pin,θ= pi/3+pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(tan(θ)+1)(tan(θ)-sqrt(3))=0

(tan (θ) + 1) (tan (θ) - 3) = 0

θ = \frac{3 π}{4} + πn, θ = \frac{π}{3} + πn

Solution steps

(tan (θ) + 1) (tan (θ) - 3) = 0

Solving each part separately

tan (θ) + 1 = 0 or tan (θ) - 3 = 0

tan (θ) + 1 = 0 : θ = \frac{3 π}{4} + πn

tan (θ) - 3 = 0 : θ = \frac{π}{3} + πn

Combine all the solutions

θ = \frac{3 π}{4} + πn, θ = \frac{π}{3} + πn

\frac{2}{3} cos (3 x) = 1

2 cos^{2} (x) - 2 sin^{2} (x) = 0

csc^{2} (θ) + 5 = 7 - csc (θ)

3 tan^{2} (\frac{x}{3}) - 1 = 0

cos (x) = \frac{7}{10}

What is the general solution for (tan(θ)+1)(tan(θ)-sqrt(3))=0 ?
The general solution for (tan(θ)+1)(tan(θ)-sqrt(3))=0 is θ=(3pi)/4+pin,θ= pi/3+pin