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Which of the given functions is an odd function ?

$\begin{array}{1 1} |x| +1 \\ \sin x+ \cos x \\ x^2 \sec x +x \tan ^2 x \\ x^2 \cot x +4x^4 cosec x +x^5 \end{array}$

Can you answer this question?
 
 

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  • If $f(-x)=-f(x)$ then $f(x)$ is said to be odd function.
$cot(-x)=-cotx$
$cosec-x=-cosecx$
$(-x)^5=-x^5$
$(-x)^2=x^2\:\:and\:\:(-x)^4=x^4$
$(-x)^2cot(-x)+4(-x)^4cosec(-x)+(-x)^5$=
$-x^2cotx-4x^4cosecx-x^5$

 

answered May 18, 2013 by rvidyagovindarajan_1
 
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