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Simplify: (i) (sin 8theta cos theta - s...

Simplify:
(i) `(sin 8theta cos theta - sin 6theta cos 3theta)/(cos 2theta cos theta - sin 3theta sin4theta)`
(ii) `(tan 5theta+tan 3 theta)/(tan 5theta-tan3 theta)=4cos2 theta cos 4theta`

Text Solution

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`(1/2[sin9theta+sin7theta-sin9theta-sin3theta])/(1/2[cos3theta+costheta-costheta+cos7theta])`
`(sin7theta-sin3theta)/(cos3theta+cos7theta)`
`(2cos5thetasin2theta)/(2cos5thetacos2theta)`
`tantheta`.
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