Question

prove that sin(A-B)= sinA.cosB-cosA.sinB

Answer 1

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Answer 2

Thank you for asking this question. Here is your answer:

Sin ( A - B) = O/H = ST/1 = ST

ST = PR - PQ

QR = ST

Sin (B) = O/H = PS/1 = PS

Cos (B) = A/H = OP/1 = OP

Sin (A) = O/H = PR / Cos(B)

Sin (A) cos(B) = PR

cos(A) = A/H = PQ/Sin (B)

Cos(A) sin(B) = PQ

ST = PR - PQ

Sin (A-B)

= sin(A) cos(B) - cos(A) sin (B)

If there is any confusion please leave a comment below.