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#