Question

(3 - 4 sin square theta )/cos square theta

Answer 1

ans is equal to 4- sec^2theta

Answer 2

$\frac{3 - 4 { \sin}^{2} \theta}{ { \cos}^{2} \theta} \\ \\ = \frac{3 - 3 { \sin}^{2} \theta - { \sin}^{2} \theta }{ { \cos}^{2} \theta } \\ \\ = \frac{3(1 - { \sin}^{2} \theta) - { \sin}^{2} \theta }{ { \cos}^{2} \theta } \\ \\ = \frac{3 { \cos}^{2} \theta - { \sin}^{2} \theta }{ { \cos}^{2} \theta } \\ \\ = 3 - { \tan}^{2} \theta$