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Hello.
Let's solve the Lhs
(2cos2 @-1)2/(cos4 @- sin4 @)
Since cos2 @ +sin2 @=1
(2cos2 @-cos2 @ -sin2 @)2/(cos4 @- sin4 @)
(cos2 @-sin2 @)2/(cos2 @+sin2 @)(cos2 @-sin2 @)
(cos2 @-sin2 @)/(cos2 @+sin2 @)
(cos2 @-sin2 @)/1
(1- sin2 @-sin2 @)=1-2sin2 @.
Hence proved.
Hope it helps.
Let's solve the Lhs
(2cos2 @-1)2/(cos4 @- sin4 @)
Since cos2 @ +sin2 @=1
(2cos2 @-cos2 @ -sin2 @)2/(cos4 @- sin4 @)
(cos2 @-sin2 @)2/(cos2 @+sin2 @)(cos2 @-sin2 @)
(cos2 @-sin2 @)/(cos2 @+sin2 @)
(cos2 @-sin2 @)/1
(1- sin2 @-sin2 @)=1-2sin2 @.
Hence proved.
Hope it helps.
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