sin^3x + cos^3x / sinx + cosx + cos^3x - sin^3x / cosx - sinx
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Sin^3 x+cos^3 x/sinx+cosx=(sinx+cosx) (sin^2 xcos^2 x-sinxcosx) /sinx+cosx=1-sinxcosx
similarly cos^3 x-sin^3 x/cosx - sinx=1+cosxsinx
Therefore answer is 1-sinxcosx+1+sinxcosx=2
Sin^3 x+cos^3 x/sinx+cosx=(sinx+cosx) (sin^2 xcos^2 x-sinxcosx) /sinx+cosx=1-sinxcosx
similarly cos^3 x-sin^3 x/cosx - sinx=1+cosxsinx
Therefore answer is 1-sinxcosx+1+sinxcosx=2
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