Deduce the power series of sin^2 x. Hence show that if x is small then (sin^2 x − x^2 cosx)/x^4 =(1/6) − (x^2 /(360))


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Question Number 31340 by NECx last updated on 06/Mar/18

$D e d u c e t h e p o w e r s e r i e s o f {s i n}^{2} x .$ $H e n c e s h o w t h a t i f x i s s m a l l t h e n$ $({s i n}^{2} x - x^{2} c o s x) / x^{4} = \frac{1}{6} - \frac{x^{2}}{360}$
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