How do you solve ${tan}^{2} x = tan x$ $tan^2 x=tan x$ ?

Question

15254 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-01-28T10:52:39

$x = k π$ $x = kpi$ or $x = \frac{π}{4} + k π$ $x = pi/4 + kpi$ where $k in ZZ$

$tan^2x = tanx$

$=> tan^2x - tanx = 0$

$=> tanx(tanx - 1) = 0$

$=> tanx = 0$ or $tanx = 1$

$=> sinx/cosx = 0$ or $sinx/cosx = 1$

$=> sinx = 0$ or $sinx = cosx$

$:. x = kpi$ or $x = pi/4 + kpi$ where $k in ZZ$

How do you solve tan^2 x=tan xtan2x=tanxtan^2 x=tan x?