1.

\begin { equation } \begin{array}{l}{\text { If } \sin \theta+\sin ^{2} \theta+\sin ^{3} \theta=1, \text { then prove that }} \\ {\cos ^{6} \theta-4 \cos ^{4} \theta+8 \cos ^{2} \theta=4}\end{array} \end { equation }

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