What is the formula of :-
 sin(A+B+C)= ?

Asked by Mohit RaAz | 8th Jul, 2015, 10:35: PM

Expert Answer:

W e space k n o w space t h a t space sin open parentheses A plus B close parentheses equals sin A cos B plus cos A sin B a n d space cos open parentheses A plus B close parentheses equals cos A c o s B minus sin A s i n B T h u s comma space s i n open parentheses A plus B plus C close parentheses equals s i n open parentheses A plus B close parentheses cross times c o s C plus c o s open parentheses A plus B close parentheses cross times sin C rightwards double arrow space s i n open parentheses A plus B plus C close parentheses equals open square brackets sin A cross times cos B plus cos A cross times sin B close square brackets cross times c o s C plus open square brackets cos A cross times cos B minus sin A cross times sin B close square brackets cross times s i n C rightwards double arrow space s i n open parentheses A plus B plus C close parentheses equals s i n A cross times c o s B cross times c o s C plus c o s A cross times s i n B cross times c o s C plus c o s A cross times c o s B cross times s i n C minus s i n A cross times s i n B cross times s i n C

Answered by Vimala Ramamurthy | 9th Jul, 2015, 08:48: AM