Question

sectheta÷sectheta-1+sectheta÷sectheta+1=2cosec^2theta​

Answer 1

Step-by-step explanation:

$\frac{ \sec(theta) }{ \sec(theta) } - 1 + \frac{ \sec(theta) }{ \sec(theta) } + 1 = 2 { \csc(theta) }^{2}$

$1 - 1 + 1 + 1 = 2 { \csc(theta) }^{2} \\ 2 = 2{ \csc(theta) }^{2} \\ { \csc(theta) }^{2} = 1 \\ \csc(theta) = + \: or - 1 \\ but \: \csc(theta) = > \\ real \: numbers - ( - 1 \: to \: 1) \\ \\ so \: it \: has \: no \: solutions$