Question

prove that : tanØ+cotØ=secØ.cosecØ​

Answer 1

Answer:

$\tan \theta + \cot \theta = \sec \theta. \cosec \theta \\\blue{\underline{\large{Take \: L.H.S}}:} \\ = \tan \theta + \cot \theta \\ \\ = \frac{ \sin \theta }{ \cos \theta } + \frac{ \cos \theta}{ \sin \theta} \\ \\ = \frac{ { \sin}^{2} \theta + { \cos}^{2} \theta }{ \cos \theta. \sin \theta} \\ \\ = \frac{ 1 }{ \cos \theta. \sin \theta} \\ \\ = \frac{1}{ \cos \theta} . \frac{1}{ \sin \theta} \\ \\ = \sec \theta. \cosec \theta = R.H.S \\ \\ \red{\mathfrak{ \large{\underline{{Hope \: It \: Helps \: You}}}}} \\ \blue{\mathfrak{ \large{\underline{{Mark \: Me \: Brainliest}}}}}$