Question

find the value of cosec (1140°)​

Answer 1

Answer:

$\frac{2}{ \sqrt{3} } \: is \: the \: answer$

Step-by-step explanation:

we can write 1140° as

$1140 = 1081 + 60$

$\: \: \: \: \: \: \: \: = (3 \times 360) + 60$

it is known that ,

$\cosec(360) = 0$

Therefore ,

$\: \: cosec(1140)$

$= cosec((3 \times 360) + 60)$

$= cosec \: ( 3\times 360) + cosec \: 60$

$= \: 0 + \frac{2}{ \sqrt{3} }$

$= \: \frac{2}{ \sqrt{3} }$