Show that sin(x+pi)=-sinx. Show all of your work.

3 answers

use the expansion equation
sin(A+B) = sinAcosB + cosAsinB

sin(x + π) = sinxcosπ + cosxsinπ
= sinx(-1) + cosx(0)
= -sinx
sin(xπi) = sinx cosπ + cosx sinπ
Thank you Reiny and oobleck!
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