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2\left(1-\sin(2t)\sin(t)-\cos(2t)\cos(t)\right)
Consider 2-2SinI(2t)SinI(t)-2CosI(2t)CosI(t). Factor out 2.
\frac{1-\sin(2t)\sin(t)-\cos(2t)\cos(t)}{2}
Rewrite the complete factored expression. Simplify.