What is the general solution for 2tan^2(α)=2tan(α) ?

The general solution for 2tan^2(α)=2tan(α) is α=pin,α= pi/4+pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2tan^2(α)=2tan(α)

2 tan^{2} (α) = 2 tan (α)

α = πn, α = \frac{π}{4} + πn

Solution steps

2 tan^{2} (α) = 2 tan (α)

Solve by substitution

tan (α) = 0, tan (α) = 1

tan (α) = 0 : α = πn

tan (α) = 1 : α = \frac{π}{4} + πn

Combine all the solutions

α = πn, α = \frac{π}{4} + πn

cos^{2} (x) - sin^{2} (x) = - \frac{3}{4}

8 cos (8 x) = 0

sin (x) = 22

sin (x) (1 + sin (x)) = 0

cos (x) = 10

What is the general solution for 2tan^2(α)=2tan(α) ?
The general solution for 2tan^2(α)=2tan(α) is α=pin,α= pi/4+pin