sin^3 theta cos theta + cos^3 theta sin theta= how much
a) 1
b) sin theta cos theta
c) 0
d) -1
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answer is b) sin theta cos theta
Step-by-step explanation:
sin3 theta . cos theta + cos3 theta .sin theta
= sin theta . cos theta (sin2 theta + cos2 theta) (taking common out)
= sin theta . cos theta x 1 (identity sin2 theta + cos2 theta = 1 )
Hence answer is => sin theta . cos theta
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