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Question

What is the value of cosecant of an angle of a right triangle?


  1. It is the length of the adjacent side divided by the length of the opposite side.

  2. It is the length of the hypotenuse divided by the length of the opposite side.

  3. It is the length of the opposite side divided by the length of the hypotenuse side.

  4. It is the length of the opposite side divided by the length of the adjacent side.


Solution

The correct option is B

It is the length of the hypotenuse divided by the length of the opposite side.


The cosecant of an angle of a right triangle is the length of the perpendicular divided by the length of the opposite side. In triangle ABC we have,

Cosec A = ACBC

 AC = hypotenuse, BC = Opposite side, AB = adjacent side                                                                                       

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