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
SSC CGL - 21 July 2023 - Shift 2 • Quantitative Aptitude • Q51
The value of sec x - cos x = ?
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