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Which of the following will be the value of \(\rm \frac{\cot x-\tan x}{\cot 2x}\) ? 

This question was previously asked in
Bihar STET TGT (Maths) Official Paper-I (Held On: 04 Sept, 2023 Shift 1)
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  1. 1
  2. 2
  3. -1
  4. 4

Answer (Detailed Solution Below)

Option 2 : 2
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Detailed Solution

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Formula used

cot 2x = 1/2(cot x - tan x)

Calculation

⇒ (cot x - tan x)/cot 2x

⇒ (cot x - tan x) / (1/2)(cot x - tan x)

⇒ 2

The answer is 2.

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