Multiple choice

In right angle $\triangle ABC, \angle B=90^o, \angle A=45^o=\angle C$, then $cosec { 45^o } =$

  1. $1$
  2. $\sqrt{2}$
  3. $\dfrac{1}{\sqrt{2}}$

  4. None of above
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B Correct answer
Explanation

cosec(45) = 1 / sin(45) = 1 / (1/sqrt(2)) = sqrt(2).

AI explanation

The cosecant of 45 degrees is a standard trigonometric ratio, defined as 1 divided by sin 45 degrees. Since the sine of 45 degrees is 1 over root 2, its reciprocal is root 2. Therefore, cosec 45 degrees equals root 2.

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