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Question : If $\sin\theta+\cos\theta=\sqrt{2}\cos\theta$, then the value of $\cot\theta$ is:
Option 1: $\sqrt{2}+1$
Option 2: $\sqrt{2}-1$
Option 3: $\sqrt{3}-1$
Option 4: $\sqrt{3}+1$
Question : If $\sin (\theta+30°)=\cos 5 \theta$, then what is the value of $\theta$?
Option 1: 30°
Option 2: 10°
Option 3: 15°
Option 4: 20°
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