the formula for cot B?
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cot (A - B) = {cot A. cot B + 1}/{cot B - cot A}.
What is cot a cot B?
cotAcotB−1cotA+cotB=cosAsinAcosBsinB−1cosAsinA+cosBsinB. Now, all the following computations are natural, and pretty authomatic: =cosAcosBsinAsinB−sinAsinBsinAsinBcosAsinB+sinAcosBsinAsinB=cosAcosB−sinAsinBcosAsinB+sinAcosB=cos(A+B)sin(A+B)
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