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Manipal MET2012MathematicsTrigonometric Ratios & Identities

The value of (22^ 30^ ) is

Options

  1. A2 +1 2 2
  2. B2 -1
  3. C2 -1 2 2
  4. DNone of these

Correct answer

C. 2 -1 2 2

Step-by-step solution

We know, aligned ^2 A & = ( 1- 2 A 2 ) ^2 (22^ 30^ ) & = 1- 45^ 2 & = (1- 1 2 ) 2 & = 2 -1 2 2 (22^ 30^ ) & = 2 -1 2 2 aligned

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