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

Question 874223: Verify that sin(pi-x)+cos(pi-x)=sin(x)-cos(x)
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
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.
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