Question

cos²+1/1+cot² = 1 prove that ​

Answer 1

Answer:

to prove cos²θ + 1/1+cot²θ=1

proof

cos²θ +1/1+cot²θ (given)

⇒cos²θ+1/cosec²θ (cosec²θ=1+cot²θ

⇒cos²θ+sin²θ (sin²θ=1/cosec²θ)

⇒1

hence proved

Answer 2

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

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

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

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

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