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If (sin^4theta)/a+(cos^4theta)/b=1/(a+b)...

If `(sin^4theta)/a+(cos^4theta)/b=1/(a+b)` , prove that `(sin^8theta)/(a^3)+(cos^4theta)/(b^3)=1/((a+b)^3)` `(sin^(4n)theta)/(a^(2n-1))+(cos^(4n)theta)/(b^(2n-1))=1/((a+b)^(2n-1)),n in N`

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