Question

ques-- 1-tan square∅ divide by cot square∅ -1 = tan square ∅ please answer me i mark him as a branliest and give 5 star rating this is imp question for me

Answer 1

Step-by-step explanation:

$\frac{ 1 - { \tan}^{2} a}{ { \cot }^{2}a - 1 } = {tan}^{2} a$

$\frac{1 - \frac{ {sin}^{2}a }{ {cos}^{2}a } }{ \frac{ {cos}^{2}a }{ {sin}^{2} a} - 1} = \frac{ \frac{ {cos}^{2} a - {sin}^{2} a}{ {cos}^{2}a } }{ \frac{ {cos}^{2} a - {sin}^{2} a}{ {sin}^{2}a } }$

$\frac{ {cos}^{2}a - {sin}^{2} a }{ {cos}^{2}a } \times \frac{ {sin}^{2}a }{ {cos}^{2}a - {sin}^{2} a }$

$= \frac{ {sin}^{2} a}{ {cos}^{2}a } = {tan}^{2}a \: \: \: \: hence \: proved$