Answer
$ \sin^{2}\theta +7\sin\theta +12$
Work Step by Step
Given expression is-
$ (\sin\theta+4) (\sin\theta+3)$
= $ \sin^{2}\theta +3\sin\theta +4\sin\theta +12$
( By FOIL method)
= $ \sin^{2}\theta +7\sin\theta +12$
Trigonometry 7th Edition
by McKeague, Charles P.; Turner, Mark D.
Published by
Cengage Learning
ISBN 10:
1111826854
ISBN 13:
978-1-11182-685-7
Chapter 1 - Section 1.5 - More on Identities - 1.5 Problem Set - Page 46: 45
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