Question

proove this gimme full solution please

Answer 1

$LHS=( \frac{ { \cos }^{2}A }{ { \sin }^{2} A } + 1) { \tan}^{2} A \\ = \frac{ { \cos }^{2}A + { \sin }^{2} A }{ { \sin}^{2}A } \times \frac{ { \sin }^{2} A }{ { \cos }^{2}A } \\ = \frac{1}{ { \cos }^{2}A } =RHS$
THEREFORE, LHS=RHS(PROVED)