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in Mathematics by (54.8k points)

(Napier Analogies) In triangle ABC,. prove that

(i) tan ((B - C)/2) = (b - c)/(b + c) cot(A/2)

(ii) tan((B - C)/2) = (b - c)/(b + c)cot(A/2)

(iii) tan((B - C)/2) = (b - c)/(b + c)cot(A/2)

1 Answer

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Best answer

By sine formulae, we have

Similarly, (ii) and (iii) may be proved.

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