1.

\frac 1 %2B 2 \operatorname sin \theta \operatorname cos \theta \operatorname sin \theta %2B \operatorname cos \theta %2B \frac 1 - 2 \operatorname sin \theta \operatorname cos \theta \operatorname sin \theta - \operatorname cos \theta = 2 \operatorname sin \theta

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