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

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

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

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

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

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Solution

The correct option is C
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 the perpendicular divided by the length of the opposite side. In triangle ABC we have,

Cosec A = $\frac{A C}{B C}$

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

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