यदि cot 75° = 2 - 

 है, तो cot 15° का मान है:

This question was previously asked in
SSC CHSL 2021 (Held On : 24 May 2022 Shift 3)
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  1. 2 - √ 3
  2. 2 + √ 3
  3.   √ 3+ 1 
  4.  √ 3 -1 

Answer (Detailed Solution Below)

Option 2 : 2 + √ 3
Free
SSC CHSL General Intelligence Sectional Test 1
25 Qs. 50 Marks 18 Mins

Detailed Solution

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दिया गया है:

cot 75° = 2 - √ 3

प्रयुक्त सूत्र:

cot (90 - θ) = tanθ 

 = cotθ   

गणना:

cot(90°  - 15° ) = 2 - √ 3

⇒ tan15° 2 - √ 3

⇒  =  

⇒ अब,  

परिमेयकरण करने से, हमें प्राप्त होता है,

⇒ ×  

⇒ (2 + √3)/(4-3)

⇒ (2 + √3)/1

∴ cot 15° का मान (2 + √3) है 

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