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CBSE Class 10 Answered

Sin(A-B)=sinAcosB-cosAsinB
Asked by Arunthakur | 12 Aug, 2019, 05:45: AM
answered-by-expert Expert Answer
Let us consider, A = 60° and B = 30° 
then A - B = 30°
LHS = Sin(A - B) = sin 30° = 1/2
RHS = sinAcosB-cosAsinB
       = sin 60° cos 30° - cos 60° sin 30°
       = √3 /2 × √3 /2 - 1/2 × 1/2
       = 3/4 - 1/4
       = 1/2
 
Hence, Sin(A - B) = sinAcosB - cosAsinB
Answered by Sneha shidid | 13 Aug, 2019, 10:32: AM

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