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AP EAMCET2006MathematicsTrigonometric Ratios & Identities

cosec 15^ + 15^ is equal to :

Options

  1. A2 2
  2. B6
  3. C2 6
  4. D6 + 2

Correct answer

D. 6 + 2

Step-by-step solution

cosec 15^ + 15^ = 2 ( 15^ + 15^ ) 2 15^ 15^ = 2 ( 45^ 30^ - 45^ 30^ + 45^ 30^ + 45^ 30^ ) 30^ =4 [ 3 2 2 - 1 2 2 + 1 2 2 + 1 2 2 ]=4 3 +1 2 2 =( 3 +1) 2 = 6 + 2

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