Question
Prove that:
$\left(\frac{1+\tan ^2 A}{1+\cot ^2 A}\right)=\frac{(1-\tan A)^2}{(1-\cot A)^2}$
$\left(\frac{1+\tan ^2 A}{1+\cot ^2 A}\right)=\frac{(1-\tan A)^2}{(1-\cot A)^2}$
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| Age $($in years$)$ | Number of people rescued |
| $10-20$ | $9$ |
| $20-30$ | $14$ |
| $30-40$ | $15$ |
| $40-50$ | $21$ |
| $50-60$ | $23$ |
| $60-70$ | $12$ |
| $70-80$ | $6$ |