Question

cos²+1/1+cot² = 1 prove that ​

Answer 1

$\huge\underline\mathrm\red{ANSWER}$

$\huge{ {cos}^{2} + \frac{1}{1 + {cot}^{2} }}$

$\huge{ = {cos}^{2} + \frac{1}{ {cosec}^{2} }}$

$\huge{ = {cos}^{2} + {sin}^{2}}$

$\huge{= \: \: 1 \: \: }$

Answer 2

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$\sf\huge{ {cos}^{2} + \frac{1}{1 + {cot}^{2} }}$

$\sf{ = {cos}^{2} + \frac{1}{ {cosec}^{2} }}$

$\sf{ = {cos}^{2} + {sin}^{2}}$

$\sf{= \: \: 1 \: \: }$