Asked by Mike
Prove that sin(A+B+C+)cos(B+C)-cos(A+B+C)sin(B+C)=sinA
Answers
Answered by
Reiny
recall that
sinPcosQ - cosPsinQ = sin(P-Q)
LS = sin(A+B+C+)cos(B+C)-cos(A+B+C)sin(B+C)
= sin((A+B+C) -(B+C))
= sinA
= RS
sinPcosQ - cosPsinQ = sin(P-Q)
LS = sin(A+B+C+)cos(B+C)-cos(A+B+C)sin(B+C)
= sin((A+B+C) -(B+C))
= sinA
= RS
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