Given sin x =-1/2 with x in quadrant 3 and tan y =4/3 with y in quadrant 1, find the exact value of sin(x-y).

Question

anonymous · Answer

incomplete info

anonymous · Answer

thats all the question gives me

anonymous · Answer

I'm stumped. I don't know if x and y are sides of triangle or angles

anonymous · Answer

$$actually x=\alpha and y=\beta$$

anonymous · Answer

can't figure out what you just wrote

anonymous · Answer

$$x=\alpha   $$ and $$y=\beta$$

anonymous · Answer

OK, choice of variables made the question confusing. I got it now. Got to go to class will attempt later.

anonymous · Answer

okay appreciate it!

anonymous · Answer

Recall sin (A - B) = Sin A cos B - cos A sin B
Use sin A= -1/2 in 3rd quadrant to find cos A
Use tan B =4/3 in 1st to find sin of B, cos B
Use exact values (no calculator, keep square roots etc) to find above