Question

prove that identity:root tan2theta/1+tan2theta=sin theta​

Answer 1

Answer:

$to \: prove = \sqrt{ \frac{ { \tan }^{2}x }{1 + { \tan}^{2}x } } = \sin(x) \: \: \: \: {where \: x \: is \: thetha } \\ solution= \sqrt{ \frac{ { \tan }^{2}x }{ { \sec }^{2}x } } \: \: \: \: \: \: \: where \: 1 + { \tan }^{2} x = { \sec }^{2}x \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{ \tan(x) }{sec(x)} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = sin(x)$