Question

Find the value of 1+tansquaretheta/1+cotsquaretheta

Answer 1

Answer:

${tan}^{2} \alpha$

Step-by-step explanation:

$\frac{1 + {tan}^{2} \alpha }{1 + {cot}^{2} \alpha } = \frac{ {sec}^{2} \alpha }{ {cosec \alpha }^{2} } \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{ {sin}^{2} \alpha }{ {cos}^{2} \alpha } \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {tan}^{2} \alpha \\ = = = = = = = = = = = = = = =$

Answer 2

hope it was useful

tanA=sinA/cosA