What is the Formula of Sin (A + B + C) ?

Solution :

The formula of sin (A + B + C) is sin A cos B cos C + cos A sin B cos C + cos A cos B sin C – sin A sin B sin C.

Proof : 

We have,

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

sin (A + B + C) = (sin A cos B + cos A sin B) cos C + (cos A cos B – sin A sin B) sin C

sin (A + B + C) = sin A cos B cos C + cos A sin B cos C + cos A cos B sin C – sin A sin B sin C

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