Question

true or false. sin(a-b) = -sin(b-a).
explain.

Answer 1

think about trignometric circle..

sin( 60 -30) = sin(30)
-sin(30-60) = -sin(-30)

It is true

Answer 2

It is true, u might like to use the difference formulas to demonstrate that for all cases.

Answer 3

thank you!

Answer 4

sine is an odd function so \[\sin(-x)=-\sin(x)\] for all x

therefore \[\sin(a-b) = \sin(-(b-a))=-\sin(b-a)\]