Question

sqrt(tan x+cosx × tanx-cosx
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Answer 1

Step-by-step explanation:

$= \sqrt{tan \: x + tan \: x \times cosx \times - cosx}$

$= \sqrt{(tanx)(1 + cosx \times - cosx)}$

$= \sqrt{(tanx)(1 + - {cos}^{2}x) }$

$= \sqrt{(tan \: x)( {sin}^{2}x<strong>)</strong> }$

$where.{sin}^{2} x + {cos}^{2} x = 1$

$= sin x\sqrt{tanx}$