write the expression as a sum or difference and simplify cos6m sin (-4m)

Question

babynini · Answer

@optiquest ...me again :}

babynini · Answer

$$\cos \alpha \sin \beta = 1/2[\sin(\alpha+\beta) - \sin (\alpha-\beta)]$$

babynini · Answer

= 1/2[sin(6m+(-4m)) - sin(6m - (-4m))]

babynini · Answer

= 1/2 [ sin (2m) - sin (10m)]

babynini · Answer

Right? How do I simplify it further?

babynini · Answer

@zepdrix ... :}

babynini · Answer

can it be 
1/2[-sin8] ? Can I get rid of the half somehow?

babynini · Answer

= -sin4 ??

zepdrix · Answer

Oh you again -_- buhahaha jk.
sec i gotta read the stuff

babynini · Answer

I sowriiee heh just 7 more questions after this! xP D:

babynini · Answer

#sleepdeprivation

zepdrix · Answer

quote bebnini:
= 1/2 [ sin (2m) - sin (10m)]
end quote.

perfect!

babynini · Answer

cannot be simplified further? ooo

zepdrix · Answer

`write the expression as a sum or difference` and simplify
you did this. good.
i dunno, simplify is sooooo subjective.
trigonometry is very circular, you could simplify for days, turning it into other things. don't try to overdo it.
this is a good place to stop.

babynini · Answer

that's so true D: the prof is super particular and loves things to be simplified to the veery simplest. Which is why I always am making sure. But ok :)

zepdrix · Answer

ya, so much ambiguity in the word simplify when you're dealing with trig D:
ugh, sucks to have a professor like that lol

babynini · Answer

for reals. but it's not illegal to simplify it extra like I did? or you dont' know?