The function f(x)=sin^4x+cos^4x/x+x^2tanx a)even b)odd c)periodic with period pi )periodic with period 2pi

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The function f(x)=sin^4x+cos^4x/x+x^2tanx a)even b)odd c)periodic with period pi )periodic with period 2pi

Asked by g_archanasharma | 08 Apr, 2019, 05:15: AM

Expert Answer

begin mathsize 16px style straight f left parenthesis straight x right parenthesis equals fraction numerator sin to the power of 4 straight x plus cos to the power of 4 straight x over denominator straight x plus straight x squared tanx end fraction Consider comma space straight f left parenthesis negative straight x right parenthesis equals fraction numerator sin to the power of 4 straight x plus cos to the power of 4 straight x over denominator negative straight x minus straight x squared tanx end fraction straight f left parenthesis negative straight x right parenthesis equals fraction numerator sin to the power of 4 straight x plus cos to the power of 4 straight x over denominator negative open parentheses straight x plus straight x squared tanx close parentheses end fraction straight f left parenthesis negative straight x right parenthesis equals minus straight f left parenthesis straight x right parenthesis Hence comma space it space is space odd space function. end style

Answered by Sneha shidid | 08 Apr, 2019, 10:51: AM

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