How do you simplify #sin(x+pi)#?

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Jim G. Share
Jul 31, 2016

Answer:

#-sinx#

Explanation:

Using #color(blue)"addition formula for sin"#

#color(red)(|bar(ul(color(white)(a/a)color(black)(sin(A+B)=sinAcosB+cosAsinB)color(white)(a/a)|)))#

#rArrsin(x+pi)=sinxcospi+cosxsinpi#

now #cospi=-1" and " sinpi=0#

#rArrsinxcospi+cosxsinpi=-sinx+0#

#rArrsin(x+pi)=-sinx#

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