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Paragraph: Let be the GM of and ; be the AM of and Question: What is the value of of 2 ?

Options

  1. A3- 2 5+2 2
  2. B5+ 2 3- 2
  3. C3-2 2 4+ 2
  4. D3- 2 4+3 2

Correct answer

B. 5+ 2 3- 2

Step-by-step solution

2 = 1 2 = 1+ ^2 1- ^2 Hence Sec ₂ y stan = Sin + Cos 2 = 1+ ( + 2 )^2 1- ( + 2 )^2 = 4+( + )^2 4-( + )^2 = 4+(1+ 2 ) 4-(1+ 2 ) = 5+ 2 3- 2 .

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