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If tan theta=a/b, find the value of (sin...

If `tan theta=a/b,` find the value of `(sin theta)/(cos^8 theta)+(cos theta)/(sin^8 theta)`

Text Solution

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The correct Answer is:
`=(a^2+b^2)^(7/2)(a/(b^8)+b/(a^8))=(a^9+b^9)/((ab)^8).(a^2+b^2)^(7/2)`
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