Using the expansions of $$\(\sin (3 x+2 x)\)$$ and $$\(\sin (3 x-2 x)\)$$, show that $$\( \frac{1}{2}(\sin 5 x+\sin x) \equiv \sin 3 x \cos 2 x . \)$$ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................
Exam No：9709_w21_qp_32 Year：2021 Question No：6(a)
Answer:
State correct expansion of \(\sin (3 x+2 x)\) or \(\sin (3 x-2 x)\)
Substitute expansions in \(\frac{1}{2}(\sin 5 x+\sin x)\), or equivalent
Simplify and obtain \(\frac{1}{2}(\sin 5 x+\sin x)=\sin 3 x \cos 2 x\)
Substitute expansions in \(\frac{1}{2}(\sin 5 x+\sin x)\), or equivalent
Simplify and obtain \(\frac{1}{2}(\sin 5 x+\sin x)=\sin 3 x \cos 2 x\)
Knowledge points:
3.3.2.2 the expansions of
Solution:
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