Question : $\cot ^2 \theta-\operatorname{cosec}^2 \theta$ equals to:
Option 1: 0
Option 2: $\tan\theta$
Option 3: 1
Option 4: –1
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Correct Answer: –1
Solution :
We know, $\operatorname{cosec}^2 \theta = 1+\cot ^2 \theta$
⇒ $\cot ^2 \theta-\operatorname{cosec}^2 \theta = -1$
Hence, the correct answer is $-1$.
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