SOLUTION: Verify that sin(pi-x)+cos(pi-x)=sin(x)-cos(x)

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Question 874223: Verify that sin(pi-x)+cos(pi-x)=sin(x)-cos(x)
Answer by jim_thompson5910(35256) About Me  (Show Source):
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sin(pi-x)+cos(pi-x)=sin(x)-cos(x)


sin(pi)cos(x)-cos(pi)sin(x)+cos(pi)cos(x)+sin(pi)sin(x)=sin(x)-cos(x)


0*cos(x)-(-1)*sin(x)+(-1)*cos(x)+0*sin(x)=sin(x)-cos(x)


0+sin(x)-cos(x)+0=sin(x)-cos(x)


sin(x)-cos(x)=sin(x)-cos(x)


The identity is verified.