Question

Prove that tan theta by 1cot theta +cot theta by 1tan tan theta =1+sec theta. Cos theta

Answer 1

$\frac{tanx}{1cotx} + \frac{cotx}{1tanx} = 1secx \times cosx \\ \frac{ \frac{sim}{cos} }{ \frac{cos}{sin} } + \ \frac{ \frac{cos}{sin} }{ \frac{sin}{cos} } \\ \frac{sin {}^{2} }{cos {}^{2} } + \frac{cos {}^{2} }{sin {}^{2} }$