SSC CGL 2023 PYQ — Question 51

SSC CGL - 21 July 2023 - Shift 2 • Quantitative Aptitude • Q51

The value of sec x - cos x = ?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. tan x sin x.

sec x - cos x 

⇒ sec x - 1/secx

⇒ (sec2x - 1) × cosx

⇒ tan2x × cosx

⇒ tanx × (sinx/cosx) × cosx

⇒ tan x sin x