Find sin (x+y), assuming that sin x= -2/3, cos y=1/4 and both x and y are in quadrant IV.

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Find sin (x+y), assuming that sin x= -2/3, cos y=1/4 and both x and y are in quadrant IV.

Mathematics
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sin(x+y)=sinxcosy+cosysinx
are you familiar with this identity?
no

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i have to look at my notes
do you know how to find cos(x) if you are given sin(x)? because you need that too.
sin x=1/cos x
This is incorrect I think you are mistaking it with sec(x)=1/cos (x)
oh, you're right
Okay, so we know this identity sin(x+y)=sin(x)cos(y)+cos(y)sin(x) now we have to plug in what we know
You know sin(x),cos(y) you don't know sin(y),cos(x)
i have no idea what to do
So you need to find what you don't know are you familiar with soh-cah-toa
a bit, but I don't even know how you got sin (x+y)=sin (x)cos(y)+cos(y)sin(x)
this is identity, you just need to know that
ok, I see it in my notes under cosine of a sum or difference

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