SOLUTION: Please help me solve w/work ASAP: If sin(A)=17/45 with pi/2 < A < pi and tan(B)=-105/88 with 3pi/2 < B < 2pi, then what is the exact value of sin(A+B)?

Question 974495: Please help me solve w/work ASAP: If sin(A)=17/45 with pi/2 < A < pi and tan(B)=-105/88 with 3pi/2 < B < 2pi, then what is the exact value of sin(A+B)?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Please help me solve w/work ASAP: If sin(A)=17/45 with pi/2 < A < pi and tan(B)=-105/88 with 3pi/2 < B < 2pi, then what is the exact value of sin(A+B)?
---------------
sin(A)=17/45 with pi/2 < A < pi --> Q2
Find the cos(A):

(Cosine negative in Q2)
----------------
tan(B)=-105/88 with 3pi/2 < B < 2pi --> Q4
Find sine & cosine of B
-----
tan(B) = y/x

sin(B) = y/r = -105/137
cos(B) = x/r = 88/137
---------------
sin(A + B) = sin(A)cos(B) + sin(B)cos(A)
=
=
=

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