Use a compound angle formula to demonstrate that sin(2pi-x) = -sin(x)?

#pi#

1 Answer
Jim G.
Dec 17, 2017

#"see explanation"#

Explanation:

#"using the "color(blue)"difference expansion for sin"#

#•color(white)(x)sin(A-B)=sinAcosB-cosAsinB#

#rArrsin(2pi-x)#

#=sin(2pi)cosx-cos(2pi)sinx#

#=0xxcosx-1xxsinx#

#=0-sinx=-sinx#

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