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What is the Formula of Cot (A + B) ?

Solution :

The formula of cot (A + B) is cotAcotB1cotB+cotA.

Proof : We have,

cot (A + B) = cos(A+B)sin(A+B)

Using sin (A + B) and cos (A + B) formula,

cot (A + B) = cosAcosBsinAsinBsinAcosB+cosAsinB

Dividing the numerator and denominator by sin A sin B,

cot (A + B) = cotAcotB1cotB+cotA

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