Answer:
sinB
Step-by-step explanation:
Using trigonometric sum/difference rule -
we can expand the expression to
= (sinAcosB + cosAsinB)cosA - (cosAcosB - sinAsinB)sinA
= cosAsinAcosB + cos^2(A)sinB - sinAcosAcosB + sin^2(A)sinB
= cos^2(A)sinB + sin^2(A)sinB
= (cos^2(A) + sin^2(A))sinB, (Pythagorean identity)
= (1 * sinB)
= sinB
