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If cosec - 3 = 4 and (0, 2 ) , then the value of is :

Options

  1. A12
  2. B3
  3. C18
  4. D30

Correct answer

C. 18

Step-by-step solution

The given equation is cosec - 3 = 4 . Converting to sine and cosine, we get: 1 - 3 = 4 - 3 = 4 - 3 = 4 Dividing both sides by 2 : 1 2 - 3 2 = 2 Using the identities ( 6 ) = 1 2 , ( 6 ) = 3 2 and (2 ) = 2 , we can write: ( 6 ) - ( 6 ) = (2 ) ( 6 - ) = (2 ) Since (0, 2 ) , we equate the principal angles: 6 - = 2 3 = 6 = 18 Answer: 18

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