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Verify the identity: sin(A+B)/sin(A-B) = tan(A)+tan(B)/tan(A)-tan(B) Explain steps

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sin(a+b)/sin(a-b)
= (sina cosb + cosa sinb)/(sina cosb - cosa sinb)
now divide top and bottom by cosa cosb and you get
(sina/cosa + sinb/cosb)/(sina/cosa - sinb/cosb)
= (tana + tanb)/(tana - tanb)
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