Question

sin(x)+sin(pi-x) equals...? how do you get the answer?

Answer 1

you can use the subtraction angle formula if it is not obvious

Answer 2

but it may be clear that
\[\sin(\pi-x)=\sin(x)\]

Answer 3

in which case you get 0

Answer 4

sorry I'm horrible at math. what is the subtraction angle formula?

Answer 5

it is
\[sin(a-b)=sin(a)cos(b)-sin(b)cos(a)\] in this case use
\[a=x,b=\pi\] and you will get it

Answer 6

if u check the graph of sin x you will see that sin x = sin (pi - x)

Answer 7

you get
\[\sin(\pi)\cos(x)-\sin(x)\cos(\pi)=0-\sin(x)\times -1=\sin(x)\]

Answer 8

jimmyrep is right. if you graph them you will see the same thing

Answer 9

thank you so much! i have a placement test for math and this will really help me figure stuff out!