Question

1-tan2A/cot2A-1=tan2A

Answer 1

Answer:

By trigonometric identities we can solve the question and also by trigonometric ratios

Answer 2

• Lets solve L.H.S first,

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

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

• here we have to do reciprocal,

                               = $\frac{cos^{2}A-sin^{2} A }{cos^{2} A } ^{2}$  ×    $\frac{sin^{2} A }{cos^{2} A- sin^{2} A }$

                               = $\frac{sin^{2}A }{cos^{2}A }$

                               = $Tan^{2}A$

                      hence proved!