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

Solution :

The formula of cot (A + B) is cot A cot B – 1\over cot B + cot A.

Proof : We have,

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

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

cot (A + B) = cos A cos B – sin A sin B\over sin A cos B + cos A sin B

Dividing the numerator and denominator by sin A sin B,

cot (A + B) = cot A cot B – 1\over cot B + cot A

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