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  • 5 years ago

Show this is an identity. sin (A+B)/sin(A-B)=cot A + cot B/cot A - cot B.

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  1. anonymous
    • 5 years ago
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    you may want write cot as cos/sin RHS = cot A + cot B/cot A - cot B. numerator is cosA cosB --- + ------- sinA sinB cosA sinB + sinAcosB -------------------- sin A sin B denominator is cosA cosB --- - ------- sinA sinB cosA sinB - sinAcosB -------------------- sin A sin B now the rhs is ... cosA sinB + sinAcosB ------------------ cosA sinB - sinAcosB sin (A+B) = --------- = LHS sin(A-B)

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