Question

prove the following trigonometric identities . ( 1+ cot ² A ) sin² A.​

Answer 1

Answer:

$(1 + \ { \cot( \alpha ) }^{2} ) \times { \sin( \alpha ) }^{2} \\ (1 + \frac{ { \cos( \alpha ) }^{2} }{ { \sin( \alpha ) }^{2} } ) \times { \sin( \alpha ) }^{2} \\ \frac{ { \sin( \alpha ) }^{2} + { \cos( \alpha ) }^{2} }{ { \sin( \alpha ) }^{2} } \times { \sin( \alpha ) }^{2} \\ \frac{1}{ { \sin( \alpha ) }^{2} } \times { \sin( \alpha ) }^{2} \\ = 1$