Question

pls solve it trignometry​

Answer 1

Answer:

(1+tan²A)cotA/Cosec²A  =  sec²A x cot A x  sin²A

                                         = 1/cos²A x  cos A/sin A x sin²A

                                         = sin A/cos A

(1+tan²A)cotA/Cosec²A  = tan A  

∴ Hence the proved

Answer 2

Answer:

${\huge{\overbrace{\underbrace{\purple{your answer:- }}}}} \\ \\ \bf\green{♡ dear *----* }$

Step-by-step explanation:

$\bf\ \frac{(1 + {tan}^{2}A) \: cot \: A }{ {cosec}^{2}A } \\ \\ \bf\ \leadsto \frac{ {sec}^{2}A \times cot \: A }{ {cosec}^{2}A} \\ \\ \bf\ \leadsto \frac{ \frac{1}{ {cos}^{2}A } \times \frac{cos \: A}{sin \: A} }{ \frac{1}{ {sin}^{2} A} } \\ \\ \bf\ \leadsto \frac{ \frac{1}{sin \: A \times cos \: A} }{ \frac{1}{ {sin}^{2} A} } \\ \\ \bf\ \leadsto (\frac{1}{sin \: A \times cos \: A} ) \times ( \frac{ {sin}^{2}A }{1} ) \\ \\ \bf\ \leadsto \frac{sin \: A}{cos \: A} \\ \\ \huge\boxed{ \leadsto \: tan \: A}$

$\large\boxed{ \fcolorbox{pink}{orange}{hope \: it \: help \: you}}$