Question
Very-short and Short-Answer Questions.
Write the value of $\big(1+\cot^2\theta\big)\sin^2\theta.$

Answer

$\big(1-\cot^2\theta\big)\sin^2\theta$$=\text{cosec}^2\theta\times\frac{1}{\text{cosec}^2\theta}$
$=1$

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