cos (2tan-1 x + 2cot-1 x) का मान क्या है?

  1. 0
  2. 1
  3. -1
  4. इनमें से कोई नहीं

Answer (Detailed Solution Below)

Option 3 : -1
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Detailed Solution

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अवधारणा:

tan-1 x + cot-1 x = \(\rm \frac {π}{2}\)

 

गणना:

ज्ञात करना है: cos (2tan-1 x + 2cot-1 x) का मान

cos (2tan-1 x + 2cot-1 x) = cos 2(tan-1 x + cot-1 x)

जैसा कि हम जानते हैं, tan-1 x + cot-1 x = \(\rm \frac {π}{2}\)

cos (2tan-1 x + 2cot-1 x) = cos [2 × \(\rm \frac {π}{2}\) ]

= cos π 

= -1

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