How to verify the following identity?

#(cosx-cosy)/(sinx+siny)+(sinx-siny)/(cosx+cosy)=0#

1 Answer
Reyan Roberth
Jul 17, 2018

# {(cosx-cosy)(cosx+cosy)+(sinx-siny)(sinx+siny)}/{(sinx+siny)*(cosx+cosy) #

#(1-cos^2y-sin^2y)/{(sinx+siny)(cosx+cosy)#

#(sin^2y-sin^2y)/{(sinx+siny)(cosx+cosy)#

#color(red)"The numerator becomes 0 and anything divided upon 0 is 0"#

Hope you can understand it!!

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