Question

if sec2 tetha ( 1+ sin tetha) (1- sin tetha) =k then find the value of k​

Answer 1

${ \sec }^{2} \alpha (1 + \sin \alpha )(1 - \sin \alpha) = k$

${sec}^{2} \alpha (1 - {sin}^{2} \alpha ) = k \\ \\ {sec}^{2} \alpha ( {cos}^{2} \alpha ) = k \\ \\ \frac{1}{ {cos}^{2} \alpha } ( {cos}^{2} \alpha ) = k$

$k = 1$

Answer 2

sec2 tetha (1 + sin tetha) (1 -sin tetha) = k

=>sec2 tetha (1 - sin^2 tetha) = k

=>sec2 tetha cos^2 tetha = k

=> k = 1