SSC CHSL 2023 PYQ — Question 70

The correct answer is option 4 i.e. 6.

$3(sin^4z-cos^4z+1)\over sin^2 z$

= 3[(sin²z + cos²z)(sin²z - cos²z) + 1]/sin²z

= 3[(sin²z - cos²z) + 1]/sin²z

= 3[(sin²z - cos²z) + sin²z + cos²z ]/sin²z

= 3[2 sin²z]/sin²z

= 3 × 2

= 6