Word Count : 95

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Use Taylor expansions about $x=0$: $$ \cos x=1-\frac{x^2}{2}+O(x^4),\qquad \sin x=x-\frac{x^3}{6}+O(x^5). $$ Numerator: $$ x(1+a\cos x)-b\sin x = x + _________ ______ ________ ____ _____ ______ _____ ____ _____ _____.
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____ _________ __________ _________ _______ ______ _______ _________ ______ ____.
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