UP TGT Mathematics Trigonometry Test Series - Part 4

2 sin A cos B is identically equal to:

Type: MCQ • Marks: 1
2 sin A cos B is identically equal to:
Options
A. cos(A + B) - cos(A - B)
B. cos(A + B) + cos(A - B)
C. sin(A + B) + sin(A - B)
D. sin(A + B) - sin(A - B)
Explanation
(sin(A + B) + sin(A - B)). Factor formulae convert sums/differences into products (e.g., sin C + sin D = 2 sin((C+D)/2) cos((C-D)/2)) and products into sums.
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