what is proof of 1) sin (A + B +C) = sinAcosBcosC + cosAsinBcosC + cosAcosBsinC - sinAsinBsinC
Meruga Gnani , 8 Years ago
Grade 10
Trigonometry> what is proof of 1) sin (A + B +C) = sinA...
2 Answers
Himanshu
Last Activity: 8 Years ago
L.H.S. : sin(A+B+C) = sin((A+B)+C)
=sin(A+B)cosC + cos(A+B)sinC
=[sinAcosB + cosAsinB]cosC + [cosAcosB – sinAsinB)sinC
=sinAcosBcosC + cosAsinBcosC + cosAcosBsinC - sinAsinBsinC
=R.H.S.
Hence. proved.
Sourabh Singh
Last Activity: 8 Years ago
Open up for sum of angles
Sin(A+B+C) sin(A+B)cosC + Cos(A+B)Sin C
and expand the below ones . you will get the answer
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