You will use the fact that is an odd function, i.e., .
The compound angle formulas can be used to derive many other formulas. One of these is the formula
a) Show that the formula is valid for x = 2pi/3 and y = pi/3. (I did this, both sides were equal to square root of 3)
b) Use appropriate equivalent trigonometric expressions to derive a similar formula for sin x - sin y.
Answer for b:
How would I show my work as to get to that answer for b? I don't really know what b is even asking.
Just making sure
b) Use appropriate equivalent trigonometric expressions to derive a similar formula for sin x - sin y.
So is all I have to do for that is come up with sin x - sin y = 2 cos ((x+y) / 2) sin ((x-y) / 2)? Do I have to do any calculations to prove that it works?
I accept with information:sin x - sin y = 2 cos ((x+y) / 2) sin ((x-y) / 2)
and sin x - sin y = 2 sin ((x-y) / 2) cos ((x+y) / 2)
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