Prove that : \[ 2\left(\sin ^{6} \theta+\cos ^{6} \theta\right)-3\l...

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Prove that :
\[
2\left(\sin ^{6} \theta+\cos ^{6} \theta\right)-3\left(\sin ^{4} \theta+\cos ^{4} \theta\right)+1=0 .
\]
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