Question

tan^2 x-sin^2 x-tan^2 x×sin^2 x​

Answer 1

${ \tan(x) }^{2} - { \sin(x) }^{2} - { \tan(x) }^{2} \times { \sin(x) }^{2} \\ = {\tan(x)}^{2} (1 - { \sin(x) }^{2} ) - { \sin(x) }^{2} \\ = { \tan(x) }^{2} { \cos(x) }^{2} - { \sin(x) }^{2} \\ = \frac{ { \sin(x) }^{2} }{ { \cos(x) }^{2} } \times { \cos(x)}^{2} - { \sin(x) }^{2} \\ = { \sin(x) }^{2} - { \sin(x) }^{2} \\ = 0$