Question

find the value of cosec(25π/6)​

Answer 1

The answer is 180/6 that is cosec(30)

cosec(30) value is 2

Answer 2

$= cosec( \frac{25\pi}{6} ) \\ = cosec \frac{(24 + 1)\pi}{6} \\ = cosec(4\pi + \frac{\pi}{6}) \\ = cosec \frac{\pi}{6} \: \: (ignoring \: 4\pi) \\ = cosec30 \\ = \frac{1}{sin30} \\ = \frac{1}{ \frac{1}{2} } \\ = 2$