Question

Cosec 45^0
= ______ .​

Answer 1

cosec45° =
`√(2)`

Explanation:

Using the identity

cosec x =
`(1)/(sinx)` and the exact value

sin45° =
`(1)/(√(2) )`

Then

cosec45° =
`(1)/((1)/(√(2) ) )` =
`√(2)`