The value of sec x - cos x = ? 

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 21 Jul 2023 Shift 2)
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  1. tan x sin x
  2. sec x tan x
  3. tan x cos x
  4. sec x cos x

Answer (Detailed Solution Below)

Option 1 : tan x sin x
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Detailed Solution

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Formula used:

Sec x = (1/cos x)

Calculation:

Sec x - cos x

⇒ (1/cos x) - cos x

⇒ (1 - cos2 x)/cos x

⇒ sinx/cos x

⇒ tan x sin x

∴ The correct answer is  tan x sin x.

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