How do you simplify $tanx ( sinx + cotx cosx)$ ?

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Answer 1 · 2016-09-24T04:52:52

$secx$ .

The Exp. $=tanx(sinx+cotxcosx)$

$=tanxsinx+tanxcotxcosx$

Here, we submit, $tanx=sinx/cosx, and, tanxcotx=1$ , so,

The Exp. $=sinx/cosx*sinx+1*cosx$

$=sin^2x/cosx+cosx$

$=(sin^2x+cos^2x)/cosx$

$=1/cosx$

$:." The Exp.="secx$

How do you simplify tanx ( sinx + cotx cosx) tanx ( sinx + cotx cosx) ?