Question #45dfd

1 Answer
Somebody N.
Nov 30, 2017

See below.

Explanation:

Identity: #color(red)(tanx=sinx/cosx)#

LHS:

#(sinxsin^2x)/cosx+sinxcosx#

#(sinxsin^2x+sinxcos^2x)/cosx#

#(sinx(sin^2x+cos^2x))/cosx#

Identity: #color(red)(sin^2x+cos^2x=1)#

#(sinx(1))/cosx=tanx#

#LHS -= RHS#

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